Highest Common Factor of 5238, 6727 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 5238, 6727 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5238, 6727 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 5238, 6727 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 5238, 6727 is 1.
HCF(5238, 6727) = 1
HCF of 5238, 6727 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5238, 6727 is 1.
Highest Common Factor of 5238,6727 is 1
Step 1: Since 6727 > 5238, we apply the division lemma to 6727 and 5238, to get
6727 = 5238 x 1 + 1489
Step 2: Since the reminder 5238 ≠ 0, we apply division lemma to 1489 and 5238, to get
5238 = 1489 x 3 + 771
Step 3: We consider the new divisor 1489 and the new remainder 771, and apply the division lemma to get
1489 = 771 x 1 + 718
We consider the new divisor 771 and the new remainder 718,and apply the division lemma to get
771 = 718 x 1 + 53
We consider the new divisor 718 and the new remainder 53,and apply the division lemma to get
718 = 53 x 13 + 29
We consider the new divisor 53 and the new remainder 29,and apply the division lemma to get
53 = 29 x 1 + 24
We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get
29 = 24 x 1 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5238 and 6727 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(53,29) = HCF(718,53) = HCF(771,718) = HCF(1489,771) = HCF(5238,1489) = HCF(6727,5238) .
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Frequently Asked Questions on HCF of 5238, 6727 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 5238, 6727?
Answer: HCF of 5238, 6727 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5238, 6727 using Euclid's Algorithm?
Answer: For arbitrary numbers 5238, 6727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.