Highest Common Factor of 9432, 2368 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 9432, 2368 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 9432, 2368 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 9432, 2368 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 9432, 2368 is 8.
HCF(9432, 2368) = 8
HCF of 9432, 2368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9432, 2368 is 8.
Highest Common Factor of 9432,2368 is 8
Step 1: Since 9432 > 2368, we apply the division lemma to 9432 and 2368, to get
9432 = 2368 x 3 + 2328
Step 2: Since the reminder 2368 ≠ 0, we apply division lemma to 2328 and 2368, to get
2368 = 2328 x 1 + 40
Step 3: We consider the new divisor 2328 and the new remainder 40, and apply the division lemma to get
2328 = 40 x 58 + 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 9432 and 2368 is 8
Notice that 8 = HCF(40,8) = HCF(2328,40) = HCF(2368,2328) = HCF(9432,2368) .
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Frequently Asked Questions on HCF of 9432, 2368 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 9432, 2368?
Answer: HCF of 9432, 2368 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9432, 2368 using Euclid's Algorithm?
Answer: For arbitrary numbers 9432, 2368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.