Highest Common Factor of 6373, 9659 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 6373, 9659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6373, 9659 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 6373, 9659 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 6373, 9659 is 1.
HCF(6373, 9659) = 1
HCF of 6373, 9659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6373, 9659 is 1.
Highest Common Factor of 6373,9659 is 1
Step 1: Since 9659 > 6373, we apply the division lemma to 9659 and 6373, to get
9659 = 6373 x 1 + 3286
Step 2: Since the reminder 6373 ≠ 0, we apply division lemma to 3286 and 6373, to get
6373 = 3286 x 1 + 3087
Step 3: We consider the new divisor 3286 and the new remainder 3087, and apply the division lemma to get
3286 = 3087 x 1 + 199
We consider the new divisor 3087 and the new remainder 199,and apply the division lemma to get
3087 = 199 x 15 + 102
We consider the new divisor 199 and the new remainder 102,and apply the division lemma to get
199 = 102 x 1 + 97
We consider the new divisor 102 and the new remainder 97,and apply the division lemma to get
102 = 97 x 1 + 5
We consider the new divisor 97 and the new remainder 5,and apply the division lemma to get
97 = 5 x 19 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 6373 and 9659 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(97,5) = HCF(102,97) = HCF(199,102) = HCF(3087,199) = HCF(3286,3087) = HCF(6373,3286) = HCF(9659,6373) .
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Frequently Asked Questions on HCF of 6373, 9659 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 6373, 9659?
Answer: HCF of 6373, 9659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6373, 9659 using Euclid's Algorithm?
Answer: For arbitrary numbers 6373, 9659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
