Highest Common Factor of 9614, 4877 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 9614, 4877 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9614, 4877 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 9614, 4877 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 9614, 4877 is 1.
HCF(9614, 4877) = 1
HCF of 9614, 4877 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9614, 4877 is 1.
Highest Common Factor of 9614,4877 is 1
Step 1: Since 9614 > 4877, we apply the division lemma to 9614 and 4877, to get
9614 = 4877 x 1 + 4737
Step 2: Since the reminder 4877 ≠ 0, we apply division lemma to 4737 and 4877, to get
4877 = 4737 x 1 + 140
Step 3: We consider the new divisor 4737 and the new remainder 140, and apply the division lemma to get
4737 = 140 x 33 + 117
We consider the new divisor 140 and the new remainder 117,and apply the division lemma to get
140 = 117 x 1 + 23
We consider the new divisor 117 and the new remainder 23,and apply the division lemma to get
117 = 23 x 5 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 9614 and 4877 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(117,23) = HCF(140,117) = HCF(4737,140) = HCF(4877,4737) = HCF(9614,4877) .
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Frequently Asked Questions on HCF of 9614, 4877 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 9614, 4877?
Answer: HCF of 9614, 4877 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9614, 4877 using Euclid's Algorithm?
Answer: For arbitrary numbers 9614, 4877 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.