Highest Common Factor of 876, 537 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 876, 537 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 537 is 3 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 876, 537 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 876, 537 is 3.
HCF(876, 537) = 3
HCF of 876, 537 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 537 is 3.
Highest Common Factor of 876,537 is 3
Step 1: Since 876 > 537, we apply the division lemma to 876 and 537, to get
876 = 537 x 1 + 339
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 339 and 537, to get
537 = 339 x 1 + 198
Step 3: We consider the new divisor 339 and the new remainder 198, and apply the division lemma to get
339 = 198 x 1 + 141
We consider the new divisor 198 and the new remainder 141,and apply the division lemma to get
198 = 141 x 1 + 57
We consider the new divisor 141 and the new remainder 57,and apply the division lemma to get
141 = 57 x 2 + 27
We consider the new divisor 57 and the new remainder 27,and apply the division lemma to get
57 = 27 x 2 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 876 and 537 is 3
Notice that 3 = HCF(27,3) = HCF(57,27) = HCF(141,57) = HCF(198,141) = HCF(339,198) = HCF(537,339) = HCF(876,537) .
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Frequently Asked Questions on HCF of 876, 537 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 876, 537?
Answer: HCF of 876, 537 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 537 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.