Highest Common Factor of 9771, 5287 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 9771, 5287 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9771, 5287 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 9771, 5287 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 9771, 5287 is 1.
HCF(9771, 5287) = 1
HCF of 9771, 5287 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9771, 5287 is 1.
Highest Common Factor of 9771,5287 is 1
Step 1: Since 9771 > 5287, we apply the division lemma to 9771 and 5287, to get
9771 = 5287 x 1 + 4484
Step 2: Since the reminder 5287 ≠ 0, we apply division lemma to 4484 and 5287, to get
5287 = 4484 x 1 + 803
Step 3: We consider the new divisor 4484 and the new remainder 803, and apply the division lemma to get
4484 = 803 x 5 + 469
We consider the new divisor 803 and the new remainder 469,and apply the division lemma to get
803 = 469 x 1 + 334
We consider the new divisor 469 and the new remainder 334,and apply the division lemma to get
469 = 334 x 1 + 135
We consider the new divisor 334 and the new remainder 135,and apply the division lemma to get
334 = 135 x 2 + 64
We consider the new divisor 135 and the new remainder 64,and apply the division lemma to get
135 = 64 x 2 + 7
We consider the new divisor 64 and the new remainder 7,and apply the division lemma to get
64 = 7 x 9 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9771 and 5287 is 1
Notice that 1 = HCF(7,1) = HCF(64,7) = HCF(135,64) = HCF(334,135) = HCF(469,334) = HCF(803,469) = HCF(4484,803) = HCF(5287,4484) = HCF(9771,5287) .
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Frequently Asked Questions on HCF of 9771, 5287 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 9771, 5287?
Answer: HCF of 9771, 5287 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9771, 5287 using Euclid's Algorithm?
Answer: For arbitrary numbers 9771, 5287 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.