Highest Common Factor of 7637, 3592 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 7637, 3592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7637, 3592 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 7637, 3592 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 7637, 3592 is 1.
HCF(7637, 3592) = 1
HCF of 7637, 3592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7637, 3592 is 1.
Highest Common Factor of 7637,3592 is 1
Step 1: Since 7637 > 3592, we apply the division lemma to 7637 and 3592, to get
7637 = 3592 x 2 + 453
Step 2: Since the reminder 3592 ≠ 0, we apply division lemma to 453 and 3592, to get
3592 = 453 x 7 + 421
Step 3: We consider the new divisor 453 and the new remainder 421, and apply the division lemma to get
453 = 421 x 1 + 32
We consider the new divisor 421 and the new remainder 32,and apply the division lemma to get
421 = 32 x 13 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 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 7637 and 3592 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(421,32) = HCF(453,421) = HCF(3592,453) = HCF(7637,3592) .
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Frequently Asked Questions on HCF of 7637, 3592 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 7637, 3592?
Answer: HCF of 7637, 3592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7637, 3592 using Euclid's Algorithm?
Answer: For arbitrary numbers 7637, 3592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.