Highest Common Factor of 9537, 5610 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 9537, 5610 i.e. 561 the largest integer that leaves a remainder zero for all numbers.
HCF of 9537, 5610 is 561 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 9537, 5610 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 9537, 5610 is 561.
HCF(9537, 5610) = 561
HCF of 9537, 5610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9537, 5610 is 561.
Highest Common Factor of 9537,5610 is 561
Step 1: Since 9537 > 5610, we apply the division lemma to 9537 and 5610, to get
9537 = 5610 x 1 + 3927
Step 2: Since the reminder 5610 ≠ 0, we apply division lemma to 3927 and 5610, to get
5610 = 3927 x 1 + 1683
Step 3: We consider the new divisor 3927 and the new remainder 1683, and apply the division lemma to get
3927 = 1683 x 2 + 561
We consider the new divisor 1683 and the new remainder 561, and apply the division lemma to get
1683 = 561 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 561, the HCF of 9537 and 5610 is 561
Notice that 561 = HCF(1683,561) = HCF(3927,1683) = HCF(5610,3927) = HCF(9537,5610) .
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Frequently Asked Questions on HCF of 9537, 5610 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 9537, 5610?
Answer: HCF of 9537, 5610 is 561 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9537, 5610 using Euclid's Algorithm?
Answer: For arbitrary numbers 9537, 5610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.