Highest Common Factor of 7544, 9524 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 7544, 9524 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7544, 9524 is 4 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 7544, 9524 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 7544, 9524 is 4.
HCF(7544, 9524) = 4
HCF of 7544, 9524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7544, 9524 is 4.
Highest Common Factor of 7544,9524 is 4
Step 1: Since 9524 > 7544, we apply the division lemma to 9524 and 7544, to get
9524 = 7544 x 1 + 1980
Step 2: Since the reminder 7544 ≠ 0, we apply division lemma to 1980 and 7544, to get
7544 = 1980 x 3 + 1604
Step 3: We consider the new divisor 1980 and the new remainder 1604, and apply the division lemma to get
1980 = 1604 x 1 + 376
We consider the new divisor 1604 and the new remainder 376,and apply the division lemma to get
1604 = 376 x 4 + 100
We consider the new divisor 376 and the new remainder 100,and apply the division lemma to get
376 = 100 x 3 + 76
We consider the new divisor 100 and the new remainder 76,and apply the division lemma to get
100 = 76 x 1 + 24
We consider the new divisor 76 and the new remainder 24,and apply the division lemma to get
76 = 24 x 3 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7544 and 9524 is 4
Notice that 4 = HCF(24,4) = HCF(76,24) = HCF(100,76) = HCF(376,100) = HCF(1604,376) = HCF(1980,1604) = HCF(7544,1980) = HCF(9524,7544) .
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Frequently Asked Questions on HCF of 7544, 9524 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 7544, 9524?
Answer: HCF of 7544, 9524 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7544, 9524 using Euclid's Algorithm?
Answer: For arbitrary numbers 7544, 9524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.