Highest Common Factor of 6269, 5540 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 6269, 5540 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6269, 5540 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 6269, 5540 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 6269, 5540 is 1.
HCF(6269, 5540) = 1
HCF of 6269, 5540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6269, 5540 is 1.
Highest Common Factor of 6269,5540 is 1
Step 1: Since 6269 > 5540, we apply the division lemma to 6269 and 5540, to get
6269 = 5540 x 1 + 729
Step 2: Since the reminder 5540 ≠ 0, we apply division lemma to 729 and 5540, to get
5540 = 729 x 7 + 437
Step 3: We consider the new divisor 729 and the new remainder 437, and apply the division lemma to get
729 = 437 x 1 + 292
We consider the new divisor 437 and the new remainder 292,and apply the division lemma to get
437 = 292 x 1 + 145
We consider the new divisor 292 and the new remainder 145,and apply the division lemma to get
292 = 145 x 2 + 2
We consider the new divisor 145 and the new remainder 2,and apply the division lemma to get
145 = 2 x 72 + 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 6269 and 5540 is 1
Notice that 1 = HCF(2,1) = HCF(145,2) = HCF(292,145) = HCF(437,292) = HCF(729,437) = HCF(5540,729) = HCF(6269,5540) .
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Frequently Asked Questions on HCF of 6269, 5540 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 6269, 5540?
Answer: HCF of 6269, 5540 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6269, 5540 using Euclid's Algorithm?
Answer: For arbitrary numbers 6269, 5540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.