Highest Common Factor of 6426, 959 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 6426, 959 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6426, 959 is 7 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 6426, 959 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 6426, 959 is 7.
HCF(6426, 959) = 7
HCF of 6426, 959 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6426, 959 is 7.
Highest Common Factor of 6426,959 is 7
Step 1: Since 6426 > 959, we apply the division lemma to 6426 and 959, to get
6426 = 959 x 6 + 672
Step 2: Since the reminder 959 ≠ 0, we apply division lemma to 672 and 959, to get
959 = 672 x 1 + 287
Step 3: We consider the new divisor 672 and the new remainder 287, and apply the division lemma to get
672 = 287 x 2 + 98
We consider the new divisor 287 and the new remainder 98,and apply the division lemma to get
287 = 98 x 2 + 91
We consider the new divisor 98 and the new remainder 91,and apply the division lemma to get
98 = 91 x 1 + 7
We consider the new divisor 91 and the new remainder 7,and apply the division lemma to get
91 = 7 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6426 and 959 is 7
Notice that 7 = HCF(91,7) = HCF(98,91) = HCF(287,98) = HCF(672,287) = HCF(959,672) = HCF(6426,959) .
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Frequently Asked Questions on HCF of 6426, 959 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 6426, 959?
Answer: HCF of 6426, 959 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6426, 959 using Euclid's Algorithm?
Answer: For arbitrary numbers 6426, 959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.