Highest Common Factor of 6659, 8477 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 6659, 8477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6659, 8477 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 6659, 8477 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 6659, 8477 is 1.
HCF(6659, 8477) = 1
HCF of 6659, 8477 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6659, 8477 is 1.
Highest Common Factor of 6659,8477 is 1
Step 1: Since 8477 > 6659, we apply the division lemma to 8477 and 6659, to get
8477 = 6659 x 1 + 1818
Step 2: Since the reminder 6659 ≠ 0, we apply division lemma to 1818 and 6659, to get
6659 = 1818 x 3 + 1205
Step 3: We consider the new divisor 1818 and the new remainder 1205, and apply the division lemma to get
1818 = 1205 x 1 + 613
We consider the new divisor 1205 and the new remainder 613,and apply the division lemma to get
1205 = 613 x 1 + 592
We consider the new divisor 613 and the new remainder 592,and apply the division lemma to get
613 = 592 x 1 + 21
We consider the new divisor 592 and the new remainder 21,and apply the division lemma to get
592 = 21 x 28 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6659 and 8477 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(592,21) = HCF(613,592) = HCF(1205,613) = HCF(1818,1205) = HCF(6659,1818) = HCF(8477,6659) .
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Frequently Asked Questions on HCF of 6659, 8477 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 6659, 8477?
Answer: HCF of 6659, 8477 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6659, 8477 using Euclid's Algorithm?
Answer: For arbitrary numbers 6659, 8477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.