Highest Common Factor of 6353, 9635 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 6353, 9635 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6353, 9635 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 6353, 9635 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 6353, 9635 is 1.
HCF(6353, 9635) = 1
HCF of 6353, 9635 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6353, 9635 is 1.
Highest Common Factor of 6353,9635 is 1
Step 1: Since 9635 > 6353, we apply the division lemma to 9635 and 6353, to get
9635 = 6353 x 1 + 3282
Step 2: Since the reminder 6353 ≠ 0, we apply division lemma to 3282 and 6353, to get
6353 = 3282 x 1 + 3071
Step 3: We consider the new divisor 3282 and the new remainder 3071, and apply the division lemma to get
3282 = 3071 x 1 + 211
We consider the new divisor 3071 and the new remainder 211,and apply the division lemma to get
3071 = 211 x 14 + 117
We consider the new divisor 211 and the new remainder 117,and apply the division lemma to get
211 = 117 x 1 + 94
We consider the new divisor 117 and the new remainder 94,and apply the division lemma to get
117 = 94 x 1 + 23
We consider the new divisor 94 and the new remainder 23,and apply the division lemma to get
94 = 23 x 4 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 6353 and 9635 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(94,23) = HCF(117,94) = HCF(211,117) = HCF(3071,211) = HCF(3282,3071) = HCF(6353,3282) = HCF(9635,6353) .
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Frequently Asked Questions on HCF of 6353, 9635 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 6353, 9635?
Answer: HCF of 6353, 9635 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6353, 9635 using Euclid's Algorithm?
Answer: For arbitrary numbers 6353, 9635 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.