Highest Common Factor of 9728, 5876 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 9728, 5876 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9728, 5876 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 9728, 5876 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 9728, 5876 is 4.
HCF(9728, 5876) = 4
HCF of 9728, 5876 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9728, 5876 is 4.
Highest Common Factor of 9728,5876 is 4
Step 1: Since 9728 > 5876, we apply the division lemma to 9728 and 5876, to get
9728 = 5876 x 1 + 3852
Step 2: Since the reminder 5876 ≠ 0, we apply division lemma to 3852 and 5876, to get
5876 = 3852 x 1 + 2024
Step 3: We consider the new divisor 3852 and the new remainder 2024, and apply the division lemma to get
3852 = 2024 x 1 + 1828
We consider the new divisor 2024 and the new remainder 1828,and apply the division lemma to get
2024 = 1828 x 1 + 196
We consider the new divisor 1828 and the new remainder 196,and apply the division lemma to get
1828 = 196 x 9 + 64
We consider the new divisor 196 and the new remainder 64,and apply the division lemma to get
196 = 64 x 3 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9728 and 5876 is 4
Notice that 4 = HCF(64,4) = HCF(196,64) = HCF(1828,196) = HCF(2024,1828) = HCF(3852,2024) = HCF(5876,3852) = HCF(9728,5876) .
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Frequently Asked Questions on HCF of 9728, 5876 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 9728, 5876?
Answer: HCF of 9728, 5876 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9728, 5876 using Euclid's Algorithm?
Answer: For arbitrary numbers 9728, 5876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.