Highest Common Factor of 879, 65682 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, 65682 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 879, 65682 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, 65682 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, 65682 is 3.
HCF(879, 65682) = 3
HCF of 879, 65682 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, 65682 is 3.
Highest Common Factor of 879,65682 is 3
Step 1: Since 65682 > 879, we apply the division lemma to 65682 and 879, to get
65682 = 879 x 74 + 636
Step 2: Since the reminder 879 ≠ 0, we apply division lemma to 636 and 879, to get
879 = 636 x 1 + 243
Step 3: We consider the new divisor 636 and the new remainder 243, and apply the division lemma to get
636 = 243 x 2 + 150
We consider the new divisor 243 and the new remainder 150,and apply the division lemma to get
243 = 150 x 1 + 93
We consider the new divisor 150 and the new remainder 93,and apply the division lemma to get
150 = 93 x 1 + 57
We consider the new divisor 93 and the new remainder 57,and apply the division lemma to get
93 = 57 x 1 + 36
We consider the new divisor 57 and the new remainder 36,and apply the division lemma to get
57 = 36 x 1 + 21
We consider the new divisor 36 and the new remainder 21,and apply the division lemma to get
36 = 21 x 1 + 15
We consider the new divisor 21 and the new remainder 15,and apply the division lemma to get
21 = 15 x 1 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 879 and 65682 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) = HCF(36,21) = HCF(57,36) = HCF(93,57) = HCF(150,93) = HCF(243,150) = HCF(636,243) = HCF(879,636) = HCF(65682,879) .
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Frequently Asked Questions on HCF of 879, 65682 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, 65682?
Answer: HCF of 879, 65682 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 879, 65682 using Euclid's Algorithm?
Answer: For arbitrary numbers 879, 65682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.