How to Find GCF of 7856/530, 5262/9618?

GCF of 7856/530, 5262/9618

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7856/530, 5262/9618 i.e 2/2548770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7856/530, 5262/9618.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7856/530,5262/9618?

Given fractions are 7856/530,5262/9618

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7856/530,5262/9618, numerators are 7856,5262

Denominators are 530,9618

The GCF of 7856,5262 is 2 .

LCM of 530,9618 is 2548770.

The greatest common factor of 7856/530,5262/9618 = [GCF of 7856,5262]/[LCM of 530,9618]= 2/2548770

Therefore, the GCF of 7856/530,5262/9618 is 2/2548770.

Greatest Common Factor of 7856,5262

To find the highest common factor of 7856,5262, we have to find the factors of both numbers and list the highest common factor.

The factors of 7856 are 1, 2, 4, 8, 16, 491, 982, 1964, 3928, 7856

The factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262

The HCF of 7856,5262 is 2.

Lets's calculate GCF of 7856,5262

Greatest Common Factor (GCF) of 7856,5262 By Common Division

2	7856, 5262
	3928, 2631

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7856,5262 By Matching Biggest Common Factor Method

Now, list down the factors of 7856

1,2,4,8,16,491,982,1964,3928,7856

Now, list down the factors of 5262

1,2,3,6,877,1754,2631,5262

Greatest Common Factor

We found the factors 7856,5262 . The biggest common factor number is the GCF number.
So the greatest common factor 7856,5262 is 2.

Lets's calculate LCM of 530,9618

Lowest Common Multiple of 530,9618 using Common Division

2	530, 9618
	265, 4809

∴ So the LCM of the given numbers is 2 x 265 x 4809 = 2548770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2548770

Therefore, the GCF of Fractions 7856/530,5262/9618 is 2/2548770

Least Common Multiple of 530,9618 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 530,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,9618) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(530,9618) x common factors =2 x 1 = 2

LCM(530,9618) = ( 530 × 9618 ) / 2

LCM(530,9618) = 5097540 / 2

LCM(530,9618) = 2548770

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FAQs on GCF of Fractions of 7856/530, 5262/9618

1. What is the HCF of 7856,5262?

The HCF of 7856,5262 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7856/530, 5262/9618?

Answer: GCF of Numerators as per given numbers 7856/530, 5262/9618 is

GCF of Numerators i.e. for 7856,5262 is 2

LCM of denominators i.e. for 530,9618 is 2548770.

Thus, GCF of Fractions is 2/2548770.Finally, GCF of Fractions for 7856/530, 5262/9618 is 2/2548770.