Highest Common Factor of 5649, 6332 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 5649, 6332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5649, 6332 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 5649, 6332 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 5649, 6332 is 1.
HCF(5649, 6332) = 1
HCF of 5649, 6332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5649, 6332 is 1.
Highest Common Factor of 5649,6332 is 1
Step 1: Since 6332 > 5649, we apply the division lemma to 6332 and 5649, to get
6332 = 5649 x 1 + 683
Step 2: Since the reminder 5649 ≠ 0, we apply division lemma to 683 and 5649, to get
5649 = 683 x 8 + 185
Step 3: We consider the new divisor 683 and the new remainder 185, and apply the division lemma to get
683 = 185 x 3 + 128
We consider the new divisor 185 and the new remainder 128,and apply the division lemma to get
185 = 128 x 1 + 57
We consider the new divisor 128 and the new remainder 57,and apply the division lemma to get
128 = 57 x 2 + 14
We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get
57 = 14 x 4 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5649 and 6332 is 1
Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(128,57) = HCF(185,128) = HCF(683,185) = HCF(5649,683) = HCF(6332,5649) .
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Frequently Asked Questions on HCF of 5649, 6332 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 5649, 6332?
Answer: HCF of 5649, 6332 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5649, 6332 using Euclid's Algorithm?
Answer: For arbitrary numbers 5649, 6332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
