Highest Common Factor of 6129, 3867 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 6129, 3867 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6129, 3867 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 6129, 3867 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 6129, 3867 is 3.
HCF(6129, 3867) = 3
HCF of 6129, 3867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6129, 3867 is 3.
Highest Common Factor of 6129,3867 is 3
Step 1: Since 6129 > 3867, we apply the division lemma to 6129 and 3867, to get
6129 = 3867 x 1 + 2262
Step 2: Since the reminder 3867 ≠ 0, we apply division lemma to 2262 and 3867, to get
3867 = 2262 x 1 + 1605
Step 3: We consider the new divisor 2262 and the new remainder 1605, and apply the division lemma to get
2262 = 1605 x 1 + 657
We consider the new divisor 1605 and the new remainder 657,and apply the division lemma to get
1605 = 657 x 2 + 291
We consider the new divisor 657 and the new remainder 291,and apply the division lemma to get
657 = 291 x 2 + 75
We consider the new divisor 291 and the new remainder 75,and apply the division lemma to get
291 = 75 x 3 + 66
We consider the new divisor 75 and the new remainder 66,and apply the division lemma to get
75 = 66 x 1 + 9
We consider the new divisor 66 and the new remainder 9,and apply the division lemma to get
66 = 9 x 7 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6129 and 3867 is 3
Notice that 3 = HCF(9,3) = HCF(66,9) = HCF(75,66) = HCF(291,75) = HCF(657,291) = HCF(1605,657) = HCF(2262,1605) = HCF(3867,2262) = HCF(6129,3867) .
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Frequently Asked Questions on HCF of 6129, 3867 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 6129, 3867?
Answer: HCF of 6129, 3867 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6129, 3867 using Euclid's Algorithm?
Answer: For arbitrary numbers 6129, 3867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.