Three tankers contain 403 litres- 434 litres and 465 litres of diesel respectively- Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times-

Question

Toppr Admin · Accepted Answer

Maximum capacity of the required tanker-HCF of -403- 434- 465-403-13-times 31-434-2-times 7-times 31-465-3-times 5-times 31-HCF-31-therefore- A container of capacity -31- litres can measure the diesel of -3- containers exact number of times-

Three tankers contain $$403$$ litres, $$434$$ litres and $$465$$ litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

Maximum capacity of the required tanker$$=$$HCF of $$403, 434, 465$$
$$403=13\times 31$$
$$434=2\times 7\times 31$$
$$465=3\times 5\times 31$$
HCF$$=31$$.
$$\therefore$$ A container of capacity $$31$$ litres can measure the diesel of $$3$$ containers exact number of times.

Three tankers contain $$403$$ litres, $$434$$ litres and $$465$$ litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.

Maximum capacity of the required tanker$$=$$HCF of $$403, 434, 465$$$$403=13\times 31$$$$434=2\times 7\times 31$$$$465=3\times 5\times 31$$HCF$$=31$$.$$\therefore$$ A container of capacity $$31$$ litres can measure the diesel of $$3$$ containers exact number of times.

Maximum capacity of the required tanker$$=$$HCF of $$403, 434, 465$$
$$403=13\times 31$$
$$434=2\times 7\times 31$$
$$465=3\times 5\times 31$$
HCF$$=31$$.
$$\therefore$$ A container of capacity $$31$$ litres can measure the diesel of $$3$$ containers exact number of times.