Highest Common Factor of 7921, 6276 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 7921, 6276 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7921, 6276 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 7921, 6276 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 7921, 6276 is 1.
HCF(7921, 6276) = 1
HCF of 7921, 6276 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7921, 6276 is 1.
Highest Common Factor of 7921,6276 is 1
Step 1: Since 7921 > 6276, we apply the division lemma to 7921 and 6276, to get
7921 = 6276 x 1 + 1645
Step 2: Since the reminder 6276 ≠ 0, we apply division lemma to 1645 and 6276, to get
6276 = 1645 x 3 + 1341
Step 3: We consider the new divisor 1645 and the new remainder 1341, and apply the division lemma to get
1645 = 1341 x 1 + 304
We consider the new divisor 1341 and the new remainder 304,and apply the division lemma to get
1341 = 304 x 4 + 125
We consider the new divisor 304 and the new remainder 125,and apply the division lemma to get
304 = 125 x 2 + 54
We consider the new divisor 125 and the new remainder 54,and apply the division lemma to get
125 = 54 x 2 + 17
We consider the new divisor 54 and the new remainder 17,and apply the division lemma to get
54 = 17 x 3 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7921 and 6276 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(54,17) = HCF(125,54) = HCF(304,125) = HCF(1341,304) = HCF(1645,1341) = HCF(6276,1645) = HCF(7921,6276) .
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Frequently Asked Questions on HCF of 7921, 6276 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 7921, 6276?
Answer: HCF of 7921, 6276 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7921, 6276 using Euclid's Algorithm?
Answer: For arbitrary numbers 7921, 6276 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.