Highest Common Factor of 7208, 795 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7208, 795 i.e. 53 the largest integer that leaves a remainder zero for all numbers.
HCF of 7208, 795 is 53 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 7208, 795 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 7208, 795 is 53.
HCF(7208, 795) = 53
HCF of 7208, 795 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7208, 795 is 53.
Highest Common Factor of 7208,795 is 53
Step 1: Since 7208 > 795, we apply the division lemma to 7208 and 795, to get
7208 = 795 x 9 + 53
Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 53 and 795, to get
795 = 53 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 7208 and 795 is 53
Notice that 53 = HCF(795,53) = HCF(7208,795) .
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Frequently Asked Questions on HCF of 7208, 795 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 7208, 795?
Answer: HCF of 7208, 795 is 53 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7208, 795 using Euclid's Algorithm?
Answer: For arbitrary numbers 7208, 795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.