Highest Common Factor of 9124, 8976 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 9124, 8976 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9124, 8976 is 4 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 9124, 8976 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 9124, 8976 is 4.
HCF(9124, 8976) = 4
HCF of 9124, 8976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9124, 8976 is 4.
Highest Common Factor of 9124,8976 is 4
Step 1: Since 9124 > 8976, we apply the division lemma to 9124 and 8976, to get
9124 = 8976 x 1 + 148
Step 2: Since the reminder 8976 ≠ 0, we apply division lemma to 148 and 8976, to get
8976 = 148 x 60 + 96
Step 3: We consider the new divisor 148 and the new remainder 96, and apply the division lemma to get
148 = 96 x 1 + 52
We consider the new divisor 96 and the new remainder 52,and apply the division lemma to get
96 = 52 x 1 + 44
We consider the new divisor 52 and the new remainder 44,and apply the division lemma to get
52 = 44 x 1 + 8
We consider the new divisor 44 and the new remainder 8,and apply the division lemma to get
44 = 8 x 5 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9124 and 8976 is 4
Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(52,44) = HCF(96,52) = HCF(148,96) = HCF(8976,148) = HCF(9124,8976) .
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Frequently Asked Questions on HCF of 9124, 8976 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 9124, 8976?
Answer: HCF of 9124, 8976 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9124, 8976 using Euclid's Algorithm?
Answer: For arbitrary numbers 9124, 8976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.