Highest Common Factor of 3176, 7941 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 3176, 7941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3176, 7941 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 3176, 7941 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 3176, 7941 is 1.
HCF(3176, 7941) = 1
HCF of 3176, 7941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3176, 7941 is 1.
Highest Common Factor of 3176,7941 is 1
Step 1: Since 7941 > 3176, we apply the division lemma to 7941 and 3176, to get
7941 = 3176 x 2 + 1589
Step 2: Since the reminder 3176 ≠ 0, we apply division lemma to 1589 and 3176, to get
3176 = 1589 x 1 + 1587
Step 3: We consider the new divisor 1589 and the new remainder 1587, and apply the division lemma to get
1589 = 1587 x 1 + 2
We consider the new divisor 1587 and the new remainder 2,and apply the division lemma to get
1587 = 2 x 793 + 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 3176 and 7941 is 1
Notice that 1 = HCF(2,1) = HCF(1587,2) = HCF(1589,1587) = HCF(3176,1589) = HCF(7941,3176) .
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Frequently Asked Questions on HCF of 3176, 7941 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 3176, 7941?
Answer: HCF of 3176, 7941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3176, 7941 using Euclid's Algorithm?
Answer: For arbitrary numbers 3176, 7941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.