Highest Common Factor of 9671, 8640 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, 8640 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9671, 8640 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, 8640 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, 8640 is 1.
HCF(9671, 8640) = 1
HCF of 9671, 8640 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, 8640 is 1.
Highest Common Factor of 9671,8640 is 1
Step 1: Since 9671 > 8640, we apply the division lemma to 9671 and 8640, to get
9671 = 8640 x 1 + 1031
Step 2: Since the reminder 8640 ≠ 0, we apply division lemma to 1031 and 8640, to get
8640 = 1031 x 8 + 392
Step 3: We consider the new divisor 1031 and the new remainder 392, and apply the division lemma to get
1031 = 392 x 2 + 247
We consider the new divisor 392 and the new remainder 247,and apply the division lemma to get
392 = 247 x 1 + 145
We consider the new divisor 247 and the new remainder 145,and apply the division lemma to get
247 = 145 x 1 + 102
We consider the new divisor 145 and the new remainder 102,and apply the division lemma to get
145 = 102 x 1 + 43
We consider the new divisor 102 and the new remainder 43,and apply the division lemma to get
102 = 43 x 2 + 16
We consider the new divisor 43 and the new remainder 16,and apply the division lemma to get
43 = 16 x 2 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9671 and 8640 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(43,16) = HCF(102,43) = HCF(145,102) = HCF(247,145) = HCF(392,247) = HCF(1031,392) = HCF(8640,1031) = HCF(9671,8640) .
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Frequently Asked Questions on HCF of 9671, 8640 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, 8640?
Answer: HCF of 9671, 8640 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9671, 8640 using Euclid's Algorithm?
Answer: For arbitrary numbers 9671, 8640 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.