Highest Common Factor of 6376, 1341 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 6376, 1341 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6376, 1341 is 1 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 6376, 1341 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 6376, 1341 is 1.
HCF(6376, 1341) = 1
HCF of 6376, 1341 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6376, 1341 is 1.
Highest Common Factor of 6376,1341 is 1
Step 1: Since 6376 > 1341, we apply the division lemma to 6376 and 1341, to get
6376 = 1341 x 4 + 1012
Step 2: Since the reminder 1341 ≠ 0, we apply division lemma to 1012 and 1341, to get
1341 = 1012 x 1 + 329
Step 3: We consider the new divisor 1012 and the new remainder 329, and apply the division lemma to get
1012 = 329 x 3 + 25
We consider the new divisor 329 and the new remainder 25,and apply the division lemma to get
329 = 25 x 13 + 4
We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get
25 = 4 x 6 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6376 and 1341 is 1
Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(329,25) = HCF(1012,329) = HCF(1341,1012) = HCF(6376,1341) .
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Frequently Asked Questions on HCF of 6376, 1341 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 6376, 1341?
Answer: HCF of 6376, 1341 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6376, 1341 using Euclid's Algorithm?
Answer: For arbitrary numbers 6376, 1341 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.