Highest Common Factor of 6413, 8931 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 6413, 8931 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6413, 8931 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 6413, 8931 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 6413, 8931 is 1.
HCF(6413, 8931) = 1
HCF of 6413, 8931 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6413, 8931 is 1.
Highest Common Factor of 6413,8931 is 1
Step 1: Since 8931 > 6413, we apply the division lemma to 8931 and 6413, to get
8931 = 6413 x 1 + 2518
Step 2: Since the reminder 6413 ≠ 0, we apply division lemma to 2518 and 6413, to get
6413 = 2518 x 2 + 1377
Step 3: We consider the new divisor 2518 and the new remainder 1377, and apply the division lemma to get
2518 = 1377 x 1 + 1141
We consider the new divisor 1377 and the new remainder 1141,and apply the division lemma to get
1377 = 1141 x 1 + 236
We consider the new divisor 1141 and the new remainder 236,and apply the division lemma to get
1141 = 236 x 4 + 197
We consider the new divisor 236 and the new remainder 197,and apply the division lemma to get
236 = 197 x 1 + 39
We consider the new divisor 197 and the new remainder 39,and apply the division lemma to get
197 = 39 x 5 + 2
We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get
39 = 2 x 19 + 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 6413 and 8931 is 1
Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(197,39) = HCF(236,197) = HCF(1141,236) = HCF(1377,1141) = HCF(2518,1377) = HCF(6413,2518) = HCF(8931,6413) .
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Frequently Asked Questions on HCF of 6413, 8931 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 6413, 8931?
Answer: HCF of 6413, 8931 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6413, 8931 using Euclid's Algorithm?
Answer: For arbitrary numbers 6413, 8931 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.