Highest Common Factor of 3528, 2637 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 3528, 2637 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 3528, 2637 is 9 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 3528, 2637 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 3528, 2637 is 9.
HCF(3528, 2637) = 9
HCF of 3528, 2637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3528, 2637 is 9.
Highest Common Factor of 3528,2637 is 9
Step 1: Since 3528 > 2637, we apply the division lemma to 3528 and 2637, to get
3528 = 2637 x 1 + 891
Step 2: Since the reminder 2637 ≠ 0, we apply division lemma to 891 and 2637, to get
2637 = 891 x 2 + 855
Step 3: We consider the new divisor 891 and the new remainder 855, and apply the division lemma to get
891 = 855 x 1 + 36
We consider the new divisor 855 and the new remainder 36,and apply the division lemma to get
855 = 36 x 23 + 27
We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 3528 and 2637 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(855,36) = HCF(891,855) = HCF(2637,891) = HCF(3528,2637) .
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Frequently Asked Questions on HCF of 3528, 2637 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 3528, 2637?
Answer: HCF of 3528, 2637 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3528, 2637 using Euclid's Algorithm?
Answer: For arbitrary numbers 3528, 2637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.