Highest Common Factor of 8520, 9344 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 8520, 9344 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8520, 9344 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 8520, 9344 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 8520, 9344 is 8.
HCF(8520, 9344) = 8
HCF of 8520, 9344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8520, 9344 is 8.
Highest Common Factor of 8520,9344 is 8
Step 1: Since 9344 > 8520, we apply the division lemma to 9344 and 8520, to get
9344 = 8520 x 1 + 824
Step 2: Since the reminder 8520 ≠ 0, we apply division lemma to 824 and 8520, to get
8520 = 824 x 10 + 280
Step 3: We consider the new divisor 824 and the new remainder 280, and apply the division lemma to get
824 = 280 x 2 + 264
We consider the new divisor 280 and the new remainder 264,and apply the division lemma to get
280 = 264 x 1 + 16
We consider the new divisor 264 and the new remainder 16,and apply the division lemma to get
264 = 16 x 16 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8520 and 9344 is 8
Notice that 8 = HCF(16,8) = HCF(264,16) = HCF(280,264) = HCF(824,280) = HCF(8520,824) = HCF(9344,8520) .
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Frequently Asked Questions on HCF of 8520, 9344 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 8520, 9344?
Answer: HCF of 8520, 9344 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8520, 9344 using Euclid's Algorithm?
Answer: For arbitrary numbers 8520, 9344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.