Greatest Common Factor of 1125/12, 1551/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1125/12, 1551/980

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 1125/12,1551/980

Given fractions are 1125/12,1551/980

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 1125,1551

Greatest Common Factor of Numerators i.e. GCF of 1125,1551 is 3 .

LCM of Denominators means LCM of 12,980 as per the given fractions.

LCM of 12,980 is 2940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1125,1551

GCF of Fractions 1125/12,1551/980 is 3/2940

3 1125, 1551
375, 517

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1125,1551 By Matching Biggest Common Factor Method

Greatest Common Factor of 1125,1551 By Matching Biggest Common Factor Method

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,1125

Factors of 1551

List of positive integer factors of 1551 that divides 1551 without a remainder.

1,3,11,33,47,141,517,1551

Greatest Common Factor

We found the factors 1125,1551 . The biggest common factor number is the GCF number.
So the greatest common factor 1125,1551 is 3.

Lets's calculate LCM of 12,980

2 12, 980
2 6, 490
3, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 245 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2940

Therefore, the GCF of Fractions 1125/12,1551/980 is 3/2940

Least Common Multiple of 12,980 with GCF Formula

Least Common Multiple of 12,980 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 12,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,980) = 4

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

GCF(12,980) x common factors =4 x 1 = 4

LCM(12,980) = ( 12 × 980 ) / 4

LCM(12,980) = 11760 / 4

LCM(12,980) = 2940


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 1125/12, 1551/980

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 1125/12, 1551/980?

Answer: GCF of Numerators as per given numbers 1125/12, 1551/980 is

GCF of Numerators i.e. for 1125,1551 is 3

LCM of denominators i.e. for 12,980 is 2940.

Thus, GCF of Fractions is 3/2940.Finally, GCF of Fractions for 1125/12, 1551/980 is 3/2940.