Highest Common Factor of 3928, 7139 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, 7139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3928, 7139 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 3928, 7139 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, 7139 is 1.
HCF(3928, 7139) = 1
HCF of 3928, 7139 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, 7139 is 1.
Highest Common Factor of 3928,7139 is 1
Step 1: Since 7139 > 3928, we apply the division lemma to 7139 and 3928, to get
7139 = 3928 x 1 + 3211
Step 2: Since the reminder 3928 ≠ 0, we apply division lemma to 3211 and 3928, to get
3928 = 3211 x 1 + 717
Step 3: We consider the new divisor 3211 and the new remainder 717, and apply the division lemma to get
3211 = 717 x 4 + 343
We consider the new divisor 717 and the new remainder 343,and apply the division lemma to get
717 = 343 x 2 + 31
We consider the new divisor 343 and the new remainder 31,and apply the division lemma to get
343 = 31 x 11 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3928 and 7139 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(343,31) = HCF(717,343) = HCF(3211,717) = HCF(3928,3211) = HCF(7139,3928) .
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Frequently Asked Questions on HCF of 3928, 7139 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, 7139?
Answer: HCF of 3928, 7139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3928, 7139 using Euclid's Algorithm?
Answer: For arbitrary numbers 3928, 7139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.