Highest Common Factor of 6712, 7386 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 6712, 7386 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6712, 7386 is 2 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 6712, 7386 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 6712, 7386 is 2.
HCF(6712, 7386) = 2
HCF of 6712, 7386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6712, 7386 is 2.
Highest Common Factor of 6712,7386 is 2
Step 1: Since 7386 > 6712, we apply the division lemma to 7386 and 6712, to get
7386 = 6712 x 1 + 674
Step 2: Since the reminder 6712 ≠ 0, we apply division lemma to 674 and 6712, to get
6712 = 674 x 9 + 646
Step 3: We consider the new divisor 674 and the new remainder 646, and apply the division lemma to get
674 = 646 x 1 + 28
We consider the new divisor 646 and the new remainder 28,and apply the division lemma to get
646 = 28 x 23 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6712 and 7386 is 2
Notice that 2 = HCF(28,2) = HCF(646,28) = HCF(674,646) = HCF(6712,674) = HCF(7386,6712) .
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Frequently Asked Questions on HCF of 6712, 7386 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 6712, 7386?
Answer: HCF of 6712, 7386 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6712, 7386 using Euclid's Algorithm?
Answer: For arbitrary numbers 6712, 7386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.