Highest Common Factor of 6133, 641 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 6133, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6133, 641 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 6133, 641 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 6133, 641 is 1.
HCF(6133, 641) = 1
HCF of 6133, 641 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6133, 641 is 1.
Highest Common Factor of 6133,641 is 1
Step 1: Since 6133 > 641, we apply the division lemma to 6133 and 641, to get
6133 = 641 x 9 + 364
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 364 and 641, to get
641 = 364 x 1 + 277
Step 3: We consider the new divisor 364 and the new remainder 277, and apply the division lemma to get
364 = 277 x 1 + 87
We consider the new divisor 277 and the new remainder 87,and apply the division lemma to get
277 = 87 x 3 + 16
We consider the new divisor 87 and the new remainder 16,and apply the division lemma to get
87 = 16 x 5 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 6133 and 641 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(87,16) = HCF(277,87) = HCF(364,277) = HCF(641,364) = HCF(6133,641) .
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Frequently Asked Questions on HCF of 6133, 641 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 6133, 641?
Answer: HCF of 6133, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6133, 641 using Euclid's Algorithm?
Answer: For arbitrary numbers 6133, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.