Highest Common Factor of 6134, 8782 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 6134, 8782 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6134, 8782 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 6134, 8782 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 6134, 8782 is 2.
HCF(6134, 8782) = 2
HCF of 6134, 8782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6134, 8782 is 2.
Highest Common Factor of 6134,8782 is 2
Step 1: Since 8782 > 6134, we apply the division lemma to 8782 and 6134, to get
8782 = 6134 x 1 + 2648
Step 2: Since the reminder 6134 ≠ 0, we apply division lemma to 2648 and 6134, to get
6134 = 2648 x 2 + 838
Step 3: We consider the new divisor 2648 and the new remainder 838, and apply the division lemma to get
2648 = 838 x 3 + 134
We consider the new divisor 838 and the new remainder 134,and apply the division lemma to get
838 = 134 x 6 + 34
We consider the new divisor 134 and the new remainder 34,and apply the division lemma to get
134 = 34 x 3 + 32
We consider the new divisor 34 and the new remainder 32,and apply the division lemma to get
34 = 32 x 1 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6134 and 8782 is 2
Notice that 2 = HCF(32,2) = HCF(34,32) = HCF(134,34) = HCF(838,134) = HCF(2648,838) = HCF(6134,2648) = HCF(8782,6134) .
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Frequently Asked Questions on HCF of 6134, 8782 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 6134, 8782?
Answer: HCF of 6134, 8782 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6134, 8782 using Euclid's Algorithm?
Answer: For arbitrary numbers 6134, 8782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.