Highest Common Factor of 928, 4371 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 928, 4371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 928, 4371 is 1 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 928, 4371 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 928, 4371 is 1.
HCF(928, 4371) = 1
HCF of 928, 4371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 928, 4371 is 1.
Highest Common Factor of 928,4371 is 1
Step 1: Since 4371 > 928, we apply the division lemma to 4371 and 928, to get
4371 = 928 x 4 + 659
Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 659 and 928, to get
928 = 659 x 1 + 269
Step 3: We consider the new divisor 659 and the new remainder 269, and apply the division lemma to get
659 = 269 x 2 + 121
We consider the new divisor 269 and the new remainder 121,and apply the division lemma to get
269 = 121 x 2 + 27
We consider the new divisor 121 and the new remainder 27,and apply the division lemma to get
121 = 27 x 4 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 928 and 4371 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(121,27) = HCF(269,121) = HCF(659,269) = HCF(928,659) = HCF(4371,928) .
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Frequently Asked Questions on HCF of 928, 4371 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 928, 4371?
Answer: HCF of 928, 4371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 928, 4371 using Euclid's Algorithm?
Answer: For arbitrary numbers 928, 4371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.