Highest Common Factor of 5677, 7590 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 5677, 7590 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5677, 7590 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 5677, 7590 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 5677, 7590 is 1.
HCF(5677, 7590) = 1
HCF of 5677, 7590 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5677, 7590 is 1.
Highest Common Factor of 5677,7590 is 1
Step 1: Since 7590 > 5677, we apply the division lemma to 7590 and 5677, to get
7590 = 5677 x 1 + 1913
Step 2: Since the reminder 5677 ≠ 0, we apply division lemma to 1913 and 5677, to get
5677 = 1913 x 2 + 1851
Step 3: We consider the new divisor 1913 and the new remainder 1851, and apply the division lemma to get
1913 = 1851 x 1 + 62
We consider the new divisor 1851 and the new remainder 62,and apply the division lemma to get
1851 = 62 x 29 + 53
We consider the new divisor 62 and the new remainder 53,and apply the division lemma to get
62 = 53 x 1 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5677 and 7590 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(62,53) = HCF(1851,62) = HCF(1913,1851) = HCF(5677,1913) = HCF(7590,5677) .
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Frequently Asked Questions on HCF of 5677, 7590 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 5677, 7590?
Answer: HCF of 5677, 7590 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5677, 7590 using Euclid's Algorithm?
Answer: For arbitrary numbers 5677, 7590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.