Highest Common Factor of 9568, 5656 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 9568, 5656 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9568, 5656 is 8 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 9568, 5656 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 9568, 5656 is 8.
HCF(9568, 5656) = 8
HCF of 9568, 5656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9568, 5656 is 8.
Highest Common Factor of 9568,5656 is 8
Step 1: Since 9568 > 5656, we apply the division lemma to 9568 and 5656, to get
9568 = 5656 x 1 + 3912
Step 2: Since the reminder 5656 ≠ 0, we apply division lemma to 3912 and 5656, to get
5656 = 3912 x 1 + 1744
Step 3: We consider the new divisor 3912 and the new remainder 1744, and apply the division lemma to get
3912 = 1744 x 2 + 424
We consider the new divisor 1744 and the new remainder 424,and apply the division lemma to get
1744 = 424 x 4 + 48
We consider the new divisor 424 and the new remainder 48,and apply the division lemma to get
424 = 48 x 8 + 40
We consider the new divisor 48 and the new remainder 40,and apply the division lemma to get
48 = 40 x 1 + 8
We consider the new divisor 40 and the new remainder 8,and apply the division lemma to get
40 = 8 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 9568 and 5656 is 8
Notice that 8 = HCF(40,8) = HCF(48,40) = HCF(424,48) = HCF(1744,424) = HCF(3912,1744) = HCF(5656,3912) = HCF(9568,5656) .
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Frequently Asked Questions on HCF of 9568, 5656 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 9568, 5656?
Answer: HCF of 9568, 5656 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9568, 5656 using Euclid's Algorithm?
Answer: For arbitrary numbers 9568, 5656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.