Highest Common Factor of 5460, 7597 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 5460, 7597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5460, 7597 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 5460, 7597 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 5460, 7597 is 1.
HCF(5460, 7597) = 1
HCF of 5460, 7597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5460, 7597 is 1.
Highest Common Factor of 5460,7597 is 1
Step 1: Since 7597 > 5460, we apply the division lemma to 7597 and 5460, to get
7597 = 5460 x 1 + 2137
Step 2: Since the reminder 5460 ≠ 0, we apply division lemma to 2137 and 5460, to get
5460 = 2137 x 2 + 1186
Step 3: We consider the new divisor 2137 and the new remainder 1186, and apply the division lemma to get
2137 = 1186 x 1 + 951
We consider the new divisor 1186 and the new remainder 951,and apply the division lemma to get
1186 = 951 x 1 + 235
We consider the new divisor 951 and the new remainder 235,and apply the division lemma to get
951 = 235 x 4 + 11
We consider the new divisor 235 and the new remainder 11,and apply the division lemma to get
235 = 11 x 21 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5460 and 7597 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(235,11) = HCF(951,235) = HCF(1186,951) = HCF(2137,1186) = HCF(5460,2137) = HCF(7597,5460) .
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Frequently Asked Questions on HCF of 5460, 7597 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 5460, 7597?
Answer: HCF of 5460, 7597 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5460, 7597 using Euclid's Algorithm?
Answer: For arbitrary numbers 5460, 7597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.