Highest Common Factor of 9671, 8739 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 9671, 8739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9671, 8739 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 9671, 8739 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 9671, 8739 is 1.
HCF(9671, 8739) = 1
HCF of 9671, 8739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9671, 8739 is 1.
Highest Common Factor of 9671,8739 is 1
Step 1: Since 9671 > 8739, we apply the division lemma to 9671 and 8739, to get
9671 = 8739 x 1 + 932
Step 2: Since the reminder 8739 ≠ 0, we apply division lemma to 932 and 8739, to get
8739 = 932 x 9 + 351
Step 3: We consider the new divisor 932 and the new remainder 351, and apply the division lemma to get
932 = 351 x 2 + 230
We consider the new divisor 351 and the new remainder 230,and apply the division lemma to get
351 = 230 x 1 + 121
We consider the new divisor 230 and the new remainder 121,and apply the division lemma to get
230 = 121 x 1 + 109
We consider the new divisor 121 and the new remainder 109,and apply the division lemma to get
121 = 109 x 1 + 12
We consider the new divisor 109 and the new remainder 12,and apply the division lemma to get
109 = 12 x 9 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9671 and 8739 is 1
Notice that 1 = HCF(12,1) = HCF(109,12) = HCF(121,109) = HCF(230,121) = HCF(351,230) = HCF(932,351) = HCF(8739,932) = HCF(9671,8739) .
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Frequently Asked Questions on HCF of 9671, 8739 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 9671, 8739?
Answer: HCF of 9671, 8739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9671, 8739 using Euclid's Algorithm?
Answer: For arbitrary numbers 9671, 8739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.