Highest Common Factor of 7524, 2598 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 7524, 2598 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7524, 2598 is 6 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 7524, 2598 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 7524, 2598 is 6.
HCF(7524, 2598) = 6
HCF of 7524, 2598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7524, 2598 is 6.
Highest Common Factor of 7524,2598 is 6
Step 1: Since 7524 > 2598, we apply the division lemma to 7524 and 2598, to get
7524 = 2598 x 2 + 2328
Step 2: Since the reminder 2598 ≠ 0, we apply division lemma to 2328 and 2598, to get
2598 = 2328 x 1 + 270
Step 3: We consider the new divisor 2328 and the new remainder 270, and apply the division lemma to get
2328 = 270 x 8 + 168
We consider the new divisor 270 and the new remainder 168,and apply the division lemma to get
270 = 168 x 1 + 102
We consider the new divisor 168 and the new remainder 102,and apply the division lemma to get
168 = 102 x 1 + 66
We consider the new divisor 102 and the new remainder 66,and apply the division lemma to get
102 = 66 x 1 + 36
We consider the new divisor 66 and the new remainder 36,and apply the division lemma to get
66 = 36 x 1 + 30
We consider the new divisor 36 and the new remainder 30,and apply the division lemma to get
36 = 30 x 1 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7524 and 2598 is 6
Notice that 6 = HCF(30,6) = HCF(36,30) = HCF(66,36) = HCF(102,66) = HCF(168,102) = HCF(270,168) = HCF(2328,270) = HCF(2598,2328) = HCF(7524,2598) .
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Frequently Asked Questions on HCF of 7524, 2598 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 7524, 2598?
Answer: HCF of 7524, 2598 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7524, 2598 using Euclid's Algorithm?
Answer: For arbitrary numbers 7524, 2598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.