Greatest Common Factor of 2072/304, 8848/5122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2072/304, 8848/5122

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 2072/304,8848/5122

Given fractions are 2072/304,8848/5122

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 2072,8848

Greatest Common Factor of Numerators i.e. GCF of 2072,8848 is 56 .

LCM of Denominators means LCM of 304,5122 as per the given fractions.

LCM of 304,5122 is 778544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2072,8848

GCF of Fractions 2072/304,8848/5122 is 56/778544

2 2072, 8848
2 1036, 4424
2 518, 2212
7 259, 1106
37, 158

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 2072,8848 By Matching Biggest Common Factor Method

Greatest Common Factor of 2072,8848 By Matching Biggest Common Factor Method

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072

Factors of 8848

List of positive integer factors of 8848 that divides 8848 without a remainder.

1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848

Greatest Common Factor

We found the factors 2072,8848 . The biggest common factor number is the GCF number.
So the greatest common factor 2072,8848 is 56.

Lets's calculate LCM of 304,5122

2 304, 5122
152, 2561

∴ So the LCM of the given numbers is 2 x 152 x 2561 = 778544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/778544

Therefore, the GCF of Fractions 2072/304,8848/5122 is 56/778544

Least Common Multiple of 304,5122 with GCF Formula

Least Common Multiple of 304,5122 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 304,5122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,5122) = 2

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

GCF(304,5122) x common factors =2 x 1 = 2

LCM(304,5122) = ( 304 × 5122 ) / 2

LCM(304,5122) = 1557088 / 2

LCM(304,5122) = 778544


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 2072/304, 8848/5122

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 2072/304, 8848/5122?

Answer: GCF of Numerators as per given numbers 2072/304, 8848/5122 is

GCF of Numerators i.e. for 2072,8848 is 56

LCM of denominators i.e. for 304,5122 is 778544.

Thus, GCF of Fractions is 56/778544.Finally, GCF of Fractions for 2072/304, 8848/5122 is 56/778544.