Highest Common Factor of 879, 516 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 879, 516 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 516 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 879, 516 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 879, 516 is 3.
HCF(879, 516) = 3
HCF of 879, 516 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 879, 516 is 3.
Highest Common Factor of 879,516 is 3
Step 1: Since 879 > 516, we apply the division lemma to 879 and 516, to get
879 = 516 x 1 + 363
Step 2: Since the reminder 516 ≠ 0, we apply division lemma to 363 and 516, to get
516 = 363 x 1 + 153
Step 3: We consider the new divisor 363 and the new remainder 153, and apply the division lemma to get
363 = 153 x 2 + 57
We consider the new divisor 153 and the new remainder 57,and apply the division lemma to get
153 = 57 x 2 + 39
We consider the new divisor 57 and the new remainder 39,and apply the division lemma to get
57 = 39 x 1 + 18
We consider the new divisor 39 and the new remainder 18,and apply the division lemma to get
39 = 18 x 2 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 516 is 3
Notice that 3 = HCF(18,3) = HCF(39,18) = HCF(57,39) = HCF(153,57) = HCF(363,153) = HCF(516,363) = HCF(879,516) .
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Frequently Asked Questions on HCF of 879, 516 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 879, 516?
Answer: HCF of 879, 516 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 516 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.