Highest Common Factor of 6142, 8646 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 6142, 8646 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6142, 8646 is 2 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 6142, 8646 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 6142, 8646 is 2.
HCF(6142, 8646) = 2
HCF of 6142, 8646 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6142, 8646 is 2.
Highest Common Factor of 6142,8646 is 2
Step 1: Since 8646 > 6142, we apply the division lemma to 8646 and 6142, to get
8646 = 6142 x 1 + 2504
Step 2: Since the reminder 6142 ≠ 0, we apply division lemma to 2504 and 6142, to get
6142 = 2504 x 2 + 1134
Step 3: We consider the new divisor 2504 and the new remainder 1134, and apply the division lemma to get
2504 = 1134 x 2 + 236
We consider the new divisor 1134 and the new remainder 236,and apply the division lemma to get
1134 = 236 x 4 + 190
We consider the new divisor 236 and the new remainder 190,and apply the division lemma to get
236 = 190 x 1 + 46
We consider the new divisor 190 and the new remainder 46,and apply the division lemma to get
190 = 46 x 4 + 6
We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get
46 = 6 x 7 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6142 and 8646 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(190,46) = HCF(236,190) = HCF(1134,236) = HCF(2504,1134) = HCF(6142,2504) = HCF(8646,6142) .
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Frequently Asked Questions on HCF of 6142, 8646 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 6142, 8646?
Answer: HCF of 6142, 8646 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6142, 8646 using Euclid's Algorithm?
Answer: For arbitrary numbers 6142, 8646 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.