Highest Common Factor of 6717, 4606 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 6717, 4606 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6717, 4606 is 1 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 6717, 4606 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 6717, 4606 is 1.
HCF(6717, 4606) = 1
HCF of 6717, 4606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6717, 4606 is 1.
Highest Common Factor of 6717,4606 is 1
Step 1: Since 6717 > 4606, we apply the division lemma to 6717 and 4606, to get
6717 = 4606 x 1 + 2111
Step 2: Since the reminder 4606 ≠ 0, we apply division lemma to 2111 and 4606, to get
4606 = 2111 x 2 + 384
Step 3: We consider the new divisor 2111 and the new remainder 384, and apply the division lemma to get
2111 = 384 x 5 + 191
We consider the new divisor 384 and the new remainder 191,and apply the division lemma to get
384 = 191 x 2 + 2
We consider the new divisor 191 and the new remainder 2,and apply the division lemma to get
191 = 2 x 95 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6717 and 4606 is 1
Notice that 1 = HCF(2,1) = HCF(191,2) = HCF(384,191) = HCF(2111,384) = HCF(4606,2111) = HCF(6717,4606) .
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Frequently Asked Questions on HCF of 6717, 4606 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 6717, 4606?
Answer: HCF of 6717, 4606 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6717, 4606 using Euclid's Algorithm?
Answer: For arbitrary numbers 6717, 4606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.