Highest Common Factor of 8684, 6407 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 8684, 6407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8684, 6407 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 8684, 6407 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 8684, 6407 is 1.
HCF(8684, 6407) = 1
HCF of 8684, 6407 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8684, 6407 is 1.
Highest Common Factor of 8684,6407 is 1
Step 1: Since 8684 > 6407, we apply the division lemma to 8684 and 6407, to get
8684 = 6407 x 1 + 2277
Step 2: Since the reminder 6407 ≠ 0, we apply division lemma to 2277 and 6407, to get
6407 = 2277 x 2 + 1853
Step 3: We consider the new divisor 2277 and the new remainder 1853, and apply the division lemma to get
2277 = 1853 x 1 + 424
We consider the new divisor 1853 and the new remainder 424,and apply the division lemma to get
1853 = 424 x 4 + 157
We consider the new divisor 424 and the new remainder 157,and apply the division lemma to get
424 = 157 x 2 + 110
We consider the new divisor 157 and the new remainder 110,and apply the division lemma to get
157 = 110 x 1 + 47
We consider the new divisor 110 and the new remainder 47,and apply the division lemma to get
110 = 47 x 2 + 16
We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get
47 = 16 x 2 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8684 and 6407 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(110,47) = HCF(157,110) = HCF(424,157) = HCF(1853,424) = HCF(2277,1853) = HCF(6407,2277) = HCF(8684,6407) .
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Frequently Asked Questions on HCF of 8684, 6407 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 8684, 6407?
Answer: HCF of 8684, 6407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8684, 6407 using Euclid's Algorithm?
Answer: For arbitrary numbers 8684, 6407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.