Greatest Common Factor of 5456/980, 1528/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5456/980, 1528/345

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 5456/980,1528/345

Given fractions are 5456/980,1528/345

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 5456,1528

Greatest Common Factor of Numerators i.e. GCF of 5456,1528 is 8 .

LCM of Denominators means LCM of 980,345 as per the given fractions.

LCM of 980,345 is 67620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5456,1528

GCF of Fractions 5456/980,1528/345 is 8/67620

2 5456, 1528
2 2728, 764
2 1364, 382
682, 191

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5456,1528 By Matching Biggest Common Factor Method

Greatest Common Factor of 5456,1528 By Matching Biggest Common Factor Method

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Greatest Common Factor

We found the factors 5456,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 5456,1528 is 8.

Lets's calculate LCM of 980,345

5 980, 345
196, 69

∴ So the LCM of the given numbers is 5 x 196 x 69 = 67620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/67620

Therefore, the GCF of Fractions 5456/980,1528/345 is 8/67620

Least Common Multiple of 980,345 with GCF Formula

Least Common Multiple of 980,345 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 980,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,345) = 5

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

GCF(980,345) x common factors =5 x 1 = 5

LCM(980,345) = ( 980 × 345 ) / 5

LCM(980,345) = 338100 / 5

LCM(980,345) = 67620


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 5456/980, 1528/345

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 5456/980, 1528/345?

Answer: GCF of Numerators as per given numbers 5456/980, 1528/345 is

GCF of Numerators i.e. for 5456,1528 is 8

LCM of denominators i.e. for 980,345 is 67620.

Thus, GCF of Fractions is 8/67620.Finally, GCF of Fractions for 5456/980, 1528/345 is 8/67620.