Find the greatest number which when it divides 714, 435 and 615 will leave 3 as remainder in each case.radio_button_unchecked3radio_button_unchecked4radio_button_unchecked6radio_button_unchecked9
Question
Find the greatest number which when it divides 714, 435 and 615 will leave 3 as remainder in each case.radio_button_unchecked3radio_button_unchecked4radio_button_unchecked6radio_button_unchecked9
Solution
To find the greatest number which when it divides 714, 435 and 615 will leave 3 as a remainder in each case, we need to find the Highest Common Factor (HCF) of (714-3), (435-3), and (615-3).
Step 1: Subtract 3 from each number. 714 - 3 = 711 435 - 3 = 432 615 - 3 = 612
Step 2: Find the HCF of 711, 432, and 612.
The HCF of 711, 432, and 612 is 9.
So, the greatest number which when it divides 714, 435 and 615 will leave 3 as a remainder in each case is 9.
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