Highest Common Factor of 5687, 3191 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 5687, 3191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5687, 3191 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 5687, 3191 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 5687, 3191 is 1.
HCF(5687, 3191) = 1
HCF of 5687, 3191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5687, 3191 is 1.
Highest Common Factor of 5687,3191 is 1
Step 1: Since 5687 > 3191, we apply the division lemma to 5687 and 3191, to get
5687 = 3191 x 1 + 2496
Step 2: Since the reminder 3191 ≠ 0, we apply division lemma to 2496 and 3191, to get
3191 = 2496 x 1 + 695
Step 3: We consider the new divisor 2496 and the new remainder 695, and apply the division lemma to get
2496 = 695 x 3 + 411
We consider the new divisor 695 and the new remainder 411,and apply the division lemma to get
695 = 411 x 1 + 284
We consider the new divisor 411 and the new remainder 284,and apply the division lemma to get
411 = 284 x 1 + 127
We consider the new divisor 284 and the new remainder 127,and apply the division lemma to get
284 = 127 x 2 + 30
We consider the new divisor 127 and the new remainder 30,and apply the division lemma to get
127 = 30 x 4 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5687 and 3191 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(127,30) = HCF(284,127) = HCF(411,284) = HCF(695,411) = HCF(2496,695) = HCF(3191,2496) = HCF(5687,3191) .
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Frequently Asked Questions on HCF of 5687, 3191 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 5687, 3191?
Answer: HCF of 5687, 3191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5687, 3191 using Euclid's Algorithm?
Answer: For arbitrary numbers 5687, 3191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.