To find the volume of the largest container that can be used to fill each of the three containers an exact number of times, we need to find the greatest common divisor (GCD) of the three volumes.
First, we can simplify the volumes by dividing each by their greatest common factor (GCF), which is 20:
24,500 ÷ 20 = 1,225
120 ÷ 20 = 6
The volumes are now 1,225 and 6 litres.
Next, we can find the GCD of 1,225 and 6 using the Euclidean algorithm:
1,225 = 6 × 204 + 1
6 = 1 × 6 + 0
The GCD of 1,225 and 6 is 1.
Finally, we can multiply the GCD by the GCF to get the volume of the largest container:
1 × 20 = 20
Therefore, the volume of the largest container that can be used to fill each of the three containers an exact number of times is 20 litres.
Three whole numbers have capacities of 24,500 and 120 litres. What is the volume of the largest container that can be used to fill each of them on exact number of times
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1 answer