Highest Common Factor of 7572, 6053 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 7572, 6053 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7572, 6053 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 7572, 6053 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 7572, 6053 is 1.
HCF(7572, 6053) = 1
HCF of 7572, 6053 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7572, 6053 is 1.
Highest Common Factor of 7572,6053 is 1
Step 1: Since 7572 > 6053, we apply the division lemma to 7572 and 6053, to get
7572 = 6053 x 1 + 1519
Step 2: Since the reminder 6053 ≠ 0, we apply division lemma to 1519 and 6053, to get
6053 = 1519 x 3 + 1496
Step 3: We consider the new divisor 1519 and the new remainder 1496, and apply the division lemma to get
1519 = 1496 x 1 + 23
We consider the new divisor 1496 and the new remainder 23,and apply the division lemma to get
1496 = 23 x 65 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7572 and 6053 is 1
Notice that 1 = HCF(23,1) = HCF(1496,23) = HCF(1519,1496) = HCF(6053,1519) = HCF(7572,6053) .
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Frequently Asked Questions on HCF of 7572, 6053 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 7572, 6053?
Answer: HCF of 7572, 6053 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7572, 6053 using Euclid's Algorithm?
Answer: For arbitrary numbers 7572, 6053 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.