Highest Common Factor of 9328, 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 9328, 5656 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9328, 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 9328, 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 9328, 5656 is 8.
HCF(9328, 5656) = 8
HCF of 9328, 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 9328, 5656 is 8.
Highest Common Factor of 9328,5656 is 8
Step 1: Since 9328 > 5656, we apply the division lemma to 9328 and 5656, to get
9328 = 5656 x 1 + 3672
Step 2: Since the reminder 5656 ≠ 0, we apply division lemma to 3672 and 5656, to get
5656 = 3672 x 1 + 1984
Step 3: We consider the new divisor 3672 and the new remainder 1984, and apply the division lemma to get
3672 = 1984 x 1 + 1688
We consider the new divisor 1984 and the new remainder 1688,and apply the division lemma to get
1984 = 1688 x 1 + 296
We consider the new divisor 1688 and the new remainder 296,and apply the division lemma to get
1688 = 296 x 5 + 208
We consider the new divisor 296 and the new remainder 208,and apply the division lemma to get
296 = 208 x 1 + 88
We consider the new divisor 208 and the new remainder 88,and apply the division lemma to get
208 = 88 x 2 + 32
We consider the new divisor 88 and the new remainder 32,and apply the division lemma to get
88 = 32 x 2 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 9328 and 5656 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(88,32) = HCF(208,88) = HCF(296,208) = HCF(1688,296) = HCF(1984,1688) = HCF(3672,1984) = HCF(5656,3672) = HCF(9328,5656) .
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Frequently Asked Questions on HCF of 9328, 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 9328, 5656?
Answer: HCF of 9328, 5656 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9328, 5656 using Euclid's Algorithm?
Answer: For arbitrary numbers 9328, 5656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.