Highest Common Factor of 6130, 7748 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 6130, 7748 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6130, 7748 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 6130, 7748 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 6130, 7748 is 2.
HCF(6130, 7748) = 2
HCF of 6130, 7748 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6130, 7748 is 2.
Highest Common Factor of 6130,7748 is 2
Step 1: Since 7748 > 6130, we apply the division lemma to 7748 and 6130, to get
7748 = 6130 x 1 + 1618
Step 2: Since the reminder 6130 ≠ 0, we apply division lemma to 1618 and 6130, to get
6130 = 1618 x 3 + 1276
Step 3: We consider the new divisor 1618 and the new remainder 1276, and apply the division lemma to get
1618 = 1276 x 1 + 342
We consider the new divisor 1276 and the new remainder 342,and apply the division lemma to get
1276 = 342 x 3 + 250
We consider the new divisor 342 and the new remainder 250,and apply the division lemma to get
342 = 250 x 1 + 92
We consider the new divisor 250 and the new remainder 92,and apply the division lemma to get
250 = 92 x 2 + 66
We consider the new divisor 92 and the new remainder 66,and apply the division lemma to get
92 = 66 x 1 + 26
We consider the new divisor 66 and the new remainder 26,and apply the division lemma to get
66 = 26 x 2 + 14
We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get
26 = 14 x 1 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6130 and 7748 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(66,26) = HCF(92,66) = HCF(250,92) = HCF(342,250) = HCF(1276,342) = HCF(1618,1276) = HCF(6130,1618) = HCF(7748,6130) .
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Frequently Asked Questions on HCF of 6130, 7748 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 6130, 7748?
Answer: HCF of 6130, 7748 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6130, 7748 using Euclid's Algorithm?
Answer: For arbitrary numbers 6130, 7748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.