Greatest Common Factor of 9049/780, 2190/1278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9049/780, 2190/1278

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 9049/780,2190/1278

Given fractions are 9049/780,2190/1278

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 9049,2190

Greatest Common Factor of Numerators i.e. GCF of 9049,2190 is 1 .

LCM of Denominators means LCM of 780,1278 as per the given fractions.

LCM of 780,1278 is 166140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9049,2190

GCF of Fractions 9049/780,2190/1278 is 1/166140

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9049,2190 By Matching Biggest Common Factor Method

Greatest Common Factor of 9049,2190 By Matching Biggest Common Factor Method

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Greatest Common Factor

We found the factors 9049,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 9049,2190 is 1.

Lets's calculate LCM of 780,1278

2 780, 1278
3 390, 639
130, 213

∴ So the LCM of the given numbers is 2 x 3 x 130 x 213 = 166140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166140

Therefore, the GCF of Fractions 9049/780,2190/1278 is 1/166140

Least Common Multiple of 780,1278 with GCF Formula

Least Common Multiple of 780,1278 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 780,1278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,1278) = 6

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

GCF(780,1278) x common factors =6 x 1 = 6

LCM(780,1278) = ( 780 × 1278 ) / 6

LCM(780,1278) = 996840 / 6

LCM(780,1278) = 166140


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 9049/780, 2190/1278

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 9049/780, 2190/1278?

Answer: GCF of Numerators as per given numbers 9049/780, 2190/1278 is

GCF of Numerators i.e. for 9049,2190 is 1

LCM of denominators i.e. for 780,1278 is 166140.

Thus, GCF of Fractions is 1/166140.Finally, GCF of Fractions for 9049/780, 2190/1278 is 1/166140.