Highest Common Factor of 8676, 9769 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 8676, 9769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8676, 9769 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 8676, 9769 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 8676, 9769 is 1.
HCF(8676, 9769) = 1
HCF of 8676, 9769 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8676, 9769 is 1.
Highest Common Factor of 8676,9769 is 1
Step 1: Since 9769 > 8676, we apply the division lemma to 9769 and 8676, to get
9769 = 8676 x 1 + 1093
Step 2: Since the reminder 8676 ≠ 0, we apply division lemma to 1093 and 8676, to get
8676 = 1093 x 7 + 1025
Step 3: We consider the new divisor 1093 and the new remainder 1025, and apply the division lemma to get
1093 = 1025 x 1 + 68
We consider the new divisor 1025 and the new remainder 68,and apply the division lemma to get
1025 = 68 x 15 + 5
We consider the new divisor 68 and the new remainder 5,and apply the division lemma to get
68 = 5 x 13 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8676 and 9769 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(68,5) = HCF(1025,68) = HCF(1093,1025) = HCF(8676,1093) = HCF(9769,8676) .
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Frequently Asked Questions on HCF of 8676, 9769 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 8676, 9769?
Answer: HCF of 8676, 9769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8676, 9769 using Euclid's Algorithm?
Answer: For arbitrary numbers 8676, 9769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.