Greatest Common Factor of 7112/524, 7308/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7112/524, 7308/436

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7112/524,7308/436

Given fractions are 7112/524,7308/436

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7112,7308

Greatest Common Factor of Numerators i.e. GCF of 7112,7308 is 28 .

LCM of Denominators means LCM of 524,436 as per the given fractions.

LCM of 524,436 is 57116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7112,7308

GCF of Fractions 7112/524,7308/436 is 28/57116

2 7112, 7308
2 3556, 3654
7 1778, 1827
254, 261

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7112,7308 By Matching Biggest Common Factor Method

Greatest Common Factor of 7112,7308 By Matching Biggest Common Factor Method

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Greatest Common Factor

We found the factors 7112,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 7112,7308 is 28.

Lets's calculate LCM of 524,436

2 524, 436
2 262, 218
131, 109

∴ So the LCM of the given numbers is 2 x 2 x 131 x 109 = 57116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/57116

Therefore, the GCF of Fractions 7112/524,7308/436 is 28/57116

Least Common Multiple of 524,436 with GCF Formula

Least Common Multiple of 524,436 with GCF Formula

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

We need to calculate greatest common factor of 524,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,436) = 4

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

GCF(524,436) x common factors =4 x 1 = 4

LCM(524,436) = ( 524 × 436 ) / 4

LCM(524,436) = 228464 / 4

LCM(524,436) = 57116


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7112/524, 7308/436

1. 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.

2. What is the GCF of Fractions for 7112/524, 7308/436?

Answer: GCF of Numerators as per given numbers 7112/524, 7308/436 is

GCF of Numerators i.e. for 7112,7308 is 28

LCM of denominators i.e. for 524,436 is 57116.

Thus, GCF of Fractions is 28/57116.Finally, GCF of Fractions for 7112/524, 7308/436 is 28/57116.