Highest Common Factor of 5710, 9544 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 5710, 9544 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5710, 9544 is 2 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 5710, 9544 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 5710, 9544 is 2.
HCF(5710, 9544) = 2
HCF of 5710, 9544 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5710, 9544 is 2.
Highest Common Factor of 5710,9544 is 2
Step 1: Since 9544 > 5710, we apply the division lemma to 9544 and 5710, to get
9544 = 5710 x 1 + 3834
Step 2: Since the reminder 5710 ≠ 0, we apply division lemma to 3834 and 5710, to get
5710 = 3834 x 1 + 1876
Step 3: We consider the new divisor 3834 and the new remainder 1876, and apply the division lemma to get
3834 = 1876 x 2 + 82
We consider the new divisor 1876 and the new remainder 82,and apply the division lemma to get
1876 = 82 x 22 + 72
We consider the new divisor 82 and the new remainder 72,and apply the division lemma to get
82 = 72 x 1 + 10
We consider the new divisor 72 and the new remainder 10,and apply the division lemma to get
72 = 10 x 7 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5710 and 9544 is 2
Notice that 2 = HCF(10,2) = HCF(72,10) = HCF(82,72) = HCF(1876,82) = HCF(3834,1876) = HCF(5710,3834) = HCF(9544,5710) .
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Frequently Asked Questions on HCF of 5710, 9544 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 5710, 9544?
Answer: HCF of 5710, 9544 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5710, 9544 using Euclid's Algorithm?
Answer: For arbitrary numbers 5710, 9544 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.