Highest Common Factor of 6635, 3664 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 6635, 3664 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6635, 3664 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 6635, 3664 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 6635, 3664 is 1.
HCF(6635, 3664) = 1
HCF of 6635, 3664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6635, 3664 is 1.
Highest Common Factor of 6635,3664 is 1
Step 1: Since 6635 > 3664, we apply the division lemma to 6635 and 3664, to get
6635 = 3664 x 1 + 2971
Step 2: Since the reminder 3664 ≠ 0, we apply division lemma to 2971 and 3664, to get
3664 = 2971 x 1 + 693
Step 3: We consider the new divisor 2971 and the new remainder 693, and apply the division lemma to get
2971 = 693 x 4 + 199
We consider the new divisor 693 and the new remainder 199,and apply the division lemma to get
693 = 199 x 3 + 96
We consider the new divisor 199 and the new remainder 96,and apply the division lemma to get
199 = 96 x 2 + 7
We consider the new divisor 96 and the new remainder 7,and apply the division lemma to get
96 = 7 x 13 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 6635 and 3664 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(96,7) = HCF(199,96) = HCF(693,199) = HCF(2971,693) = HCF(3664,2971) = HCF(6635,3664) .
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Frequently Asked Questions on HCF of 6635, 3664 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 6635, 3664?
Answer: HCF of 6635, 3664 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6635, 3664 using Euclid's Algorithm?
Answer: For arbitrary numbers 6635, 3664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.