Highest Common Factor of 3891, 8376 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 3891, 8376 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3891, 8376 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 3891, 8376 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 3891, 8376 is 3.
HCF(3891, 8376) = 3
HCF of 3891, 8376 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3891, 8376 is 3.
Highest Common Factor of 3891,8376 is 3
Step 1: Since 8376 > 3891, we apply the division lemma to 8376 and 3891, to get
8376 = 3891 x 2 + 594
Step 2: Since the reminder 3891 ≠ 0, we apply division lemma to 594 and 3891, to get
3891 = 594 x 6 + 327
Step 3: We consider the new divisor 594 and the new remainder 327, and apply the division lemma to get
594 = 327 x 1 + 267
We consider the new divisor 327 and the new remainder 267,and apply the division lemma to get
327 = 267 x 1 + 60
We consider the new divisor 267 and the new remainder 60,and apply the division lemma to get
267 = 60 x 4 + 27
We consider the new divisor 60 and the new remainder 27,and apply the division lemma to get
60 = 27 x 2 + 6
We consider the new divisor 27 and the new remainder 6,and apply the division lemma to get
27 = 6 x 4 + 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 3891 and 8376 is 3
Notice that 3 = HCF(6,3) = HCF(27,6) = HCF(60,27) = HCF(267,60) = HCF(327,267) = HCF(594,327) = HCF(3891,594) = HCF(8376,3891) .
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Frequently Asked Questions on HCF of 3891, 8376 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 3891, 8376?
Answer: HCF of 3891, 8376 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3891, 8376 using Euclid's Algorithm?
Answer: For arbitrary numbers 3891, 8376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.