Highest Common Factor of 3191, 8512 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 3191, 8512 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3191, 8512 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 3191, 8512 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 3191, 8512 is 1.
HCF(3191, 8512) = 1
HCF of 3191, 8512 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3191, 8512 is 1.
Highest Common Factor of 3191,8512 is 1
Step 1: Since 8512 > 3191, we apply the division lemma to 8512 and 3191, to get
8512 = 3191 x 2 + 2130
Step 2: Since the reminder 3191 ≠ 0, we apply division lemma to 2130 and 3191, to get
3191 = 2130 x 1 + 1061
Step 3: We consider the new divisor 2130 and the new remainder 1061, and apply the division lemma to get
2130 = 1061 x 2 + 8
We consider the new divisor 1061 and the new remainder 8,and apply the division lemma to get
1061 = 8 x 132 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3191 and 8512 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(1061,8) = HCF(2130,1061) = HCF(3191,2130) = HCF(8512,3191) .
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Frequently Asked Questions on HCF of 3191, 8512 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 3191, 8512?
Answer: HCF of 3191, 8512 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3191, 8512 using Euclid's Algorithm?
Answer: For arbitrary numbers 3191, 8512 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
