Highest Common Factor of 7911, 6423 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 7911, 6423 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7911, 6423 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 7911, 6423 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 7911, 6423 is 3.
HCF(7911, 6423) = 3
HCF of 7911, 6423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7911, 6423 is 3.
Highest Common Factor of 7911,6423 is 3
Step 1: Since 7911 > 6423, we apply the division lemma to 7911 and 6423, to get
7911 = 6423 x 1 + 1488
Step 2: Since the reminder 6423 ≠ 0, we apply division lemma to 1488 and 6423, to get
6423 = 1488 x 4 + 471
Step 3: We consider the new divisor 1488 and the new remainder 471, and apply the division lemma to get
1488 = 471 x 3 + 75
We consider the new divisor 471 and the new remainder 75,and apply the division lemma to get
471 = 75 x 6 + 21
We consider the new divisor 75 and the new remainder 21,and apply the division lemma to get
75 = 21 x 3 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 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 7911 and 6423 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(75,21) = HCF(471,75) = HCF(1488,471) = HCF(6423,1488) = HCF(7911,6423) .
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Frequently Asked Questions on HCF of 7911, 6423 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 7911, 6423?
Answer: HCF of 7911, 6423 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7911, 6423 using Euclid's Algorithm?
Answer: For arbitrary numbers 7911, 6423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.