Highest Common Factor of 3637, 2512 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 3637, 2512 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3637, 2512 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 3637, 2512 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 3637, 2512 is 1.
HCF(3637, 2512) = 1
HCF of 3637, 2512 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3637, 2512 is 1.
Highest Common Factor of 3637,2512 is 1
Step 1: Since 3637 > 2512, we apply the division lemma to 3637 and 2512, to get
3637 = 2512 x 1 + 1125
Step 2: Since the reminder 2512 ≠ 0, we apply division lemma to 1125 and 2512, to get
2512 = 1125 x 2 + 262
Step 3: We consider the new divisor 1125 and the new remainder 262, and apply the division lemma to get
1125 = 262 x 4 + 77
We consider the new divisor 262 and the new remainder 77,and apply the division lemma to get
262 = 77 x 3 + 31
We consider the new divisor 77 and the new remainder 31,and apply the division lemma to get
77 = 31 x 2 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3637 and 2512 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(77,31) = HCF(262,77) = HCF(1125,262) = HCF(2512,1125) = HCF(3637,2512) .
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Frequently Asked Questions on HCF of 3637, 2512 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 3637, 2512?
Answer: HCF of 3637, 2512 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3637, 2512 using Euclid's Algorithm?
Answer: For arbitrary numbers 3637, 2512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.