Highest Common Factor of 8759, 5071 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 8759, 5071 i.e. 461 the largest integer that leaves a remainder zero for all numbers.
HCF of 8759, 5071 is 461 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 8759, 5071 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 8759, 5071 is 461.
HCF(8759, 5071) = 461
HCF of 8759, 5071 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8759, 5071 is 461.
Highest Common Factor of 8759,5071 is 461
Step 1: Since 8759 > 5071, we apply the division lemma to 8759 and 5071, to get
8759 = 5071 x 1 + 3688
Step 2: Since the reminder 5071 ≠ 0, we apply division lemma to 3688 and 5071, to get
5071 = 3688 x 1 + 1383
Step 3: We consider the new divisor 3688 and the new remainder 1383, and apply the division lemma to get
3688 = 1383 x 2 + 922
We consider the new divisor 1383 and the new remainder 922,and apply the division lemma to get
1383 = 922 x 1 + 461
We consider the new divisor 922 and the new remainder 461,and apply the division lemma to get
922 = 461 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 461, the HCF of 8759 and 5071 is 461
Notice that 461 = HCF(922,461) = HCF(1383,922) = HCF(3688,1383) = HCF(5071,3688) = HCF(8759,5071) .
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Frequently Asked Questions on HCF of 8759, 5071 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 8759, 5071?
Answer: HCF of 8759, 5071 is 461 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8759, 5071 using Euclid's Algorithm?
Answer: For arbitrary numbers 8759, 5071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
