Highest Common Factor of 5637, 5955 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 5637, 5955 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5637, 5955 is 3 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 5637, 5955 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 5637, 5955 is 3.
HCF(5637, 5955) = 3
HCF of 5637, 5955 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5637, 5955 is 3.
Highest Common Factor of 5637,5955 is 3
Step 1: Since 5955 > 5637, we apply the division lemma to 5955 and 5637, to get
5955 = 5637 x 1 + 318
Step 2: Since the reminder 5637 ≠ 0, we apply division lemma to 318 and 5637, to get
5637 = 318 x 17 + 231
Step 3: We consider the new divisor 318 and the new remainder 231, and apply the division lemma to get
318 = 231 x 1 + 87
We consider the new divisor 231 and the new remainder 87,and apply the division lemma to get
231 = 87 x 2 + 57
We consider the new divisor 87 and the new remainder 57,and apply the division lemma to get
87 = 57 x 1 + 30
We consider the new divisor 57 and the new remainder 30,and apply the division lemma to get
57 = 30 x 1 + 27
We consider the new divisor 30 and the new remainder 27,and apply the division lemma to get
30 = 27 x 1 + 3
We consider the new divisor 27 and the new remainder 3,and apply the division lemma to get
27 = 3 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5637 and 5955 is 3
Notice that 3 = HCF(27,3) = HCF(30,27) = HCF(57,30) = HCF(87,57) = HCF(231,87) = HCF(318,231) = HCF(5637,318) = HCF(5955,5637) .
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Frequently Asked Questions on HCF of 5637, 5955 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 5637, 5955?
Answer: HCF of 5637, 5955 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5637, 5955 using Euclid's Algorithm?
Answer: For arbitrary numbers 5637, 5955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.