Highest Common Factor of 7539, 9591 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 7539, 9591 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7539, 9591 is 3 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 7539, 9591 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 7539, 9591 is 3.
HCF(7539, 9591) = 3
HCF of 7539, 9591 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7539, 9591 is 3.
Highest Common Factor of 7539,9591 is 3
Step 1: Since 9591 > 7539, we apply the division lemma to 9591 and 7539, to get
9591 = 7539 x 1 + 2052
Step 2: Since the reminder 7539 ≠ 0, we apply division lemma to 2052 and 7539, to get
7539 = 2052 x 3 + 1383
Step 3: We consider the new divisor 2052 and the new remainder 1383, and apply the division lemma to get
2052 = 1383 x 1 + 669
We consider the new divisor 1383 and the new remainder 669,and apply the division lemma to get
1383 = 669 x 2 + 45
We consider the new divisor 669 and the new remainder 45,and apply the division lemma to get
669 = 45 x 14 + 39
We consider the new divisor 45 and the new remainder 39,and apply the division lemma to get
45 = 39 x 1 + 6
We consider the new divisor 39 and the new remainder 6,and apply the division lemma to get
39 = 6 x 6 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7539 and 9591 is 3
Notice that 3 = HCF(6,3) = HCF(39,6) = HCF(45,39) = HCF(669,45) = HCF(1383,669) = HCF(2052,1383) = HCF(7539,2052) = HCF(9591,7539) .
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Frequently Asked Questions on HCF of 7539, 9591 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 7539, 9591?
Answer: HCF of 7539, 9591 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7539, 9591 using Euclid's Algorithm?
Answer: For arbitrary numbers 7539, 9591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.