Highest Common Factor of 3928, 3128 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 3928, 3128 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3928, 3128 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 3928, 3128 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 3928, 3128 is 8.
HCF(3928, 3128) = 8
HCF of 3928, 3128 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3928, 3128 is 8.
Highest Common Factor of 3928,3128 is 8
Step 1: Since 3928 > 3128, we apply the division lemma to 3928 and 3128, to get
3928 = 3128 x 1 + 800
Step 2: Since the reminder 3128 ≠ 0, we apply division lemma to 800 and 3128, to get
3128 = 800 x 3 + 728
Step 3: We consider the new divisor 800 and the new remainder 728, and apply the division lemma to get
800 = 728 x 1 + 72
We consider the new divisor 728 and the new remainder 72,and apply the division lemma to get
728 = 72 x 10 + 8
We consider the new divisor 72 and the new remainder 8,and apply the division lemma to get
72 = 8 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3928 and 3128 is 8
Notice that 8 = HCF(72,8) = HCF(728,72) = HCF(800,728) = HCF(3128,800) = HCF(3928,3128) .
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Frequently Asked Questions on HCF of 3928, 3128 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 3928, 3128?
Answer: HCF of 3928, 3128 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3928, 3128 using Euclid's Algorithm?
Answer: For arbitrary numbers 3928, 3128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.