Greatest Common Factor of 1370/130, 7314/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1370/130, 7314/222

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 1370/130,7314/222

Given fractions are 1370/130,7314/222

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 1370,7314

Greatest Common Factor of Numerators i.e. GCF of 1370,7314 is 2 .

LCM of Denominators means LCM of 130,222 as per the given fractions.

LCM of 130,222 is 14430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1370,7314

GCF of Fractions 1370/130,7314/222 is 2/14430

2 1370, 7314
685, 3657

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

Greatest Common Factor of 1370,7314 By Matching Biggest Common Factor Method

Greatest Common Factor of 1370,7314 By Matching Biggest Common Factor Method

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1,2,5,10,137,274,685,1370

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Greatest Common Factor

We found the factors 1370,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 1370,7314 is 2.

Lets's calculate LCM of 130,222

2 130, 222
65, 111

∴ So the LCM of the given numbers is 2 x 65 x 111 = 14430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14430

Therefore, the GCF of Fractions 1370/130,7314/222 is 2/14430

Least Common Multiple of 130,222 with GCF Formula

Least Common Multiple of 130,222 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 130,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,222) = 2

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

GCF(130,222) x common factors =2 x 1 = 2

LCM(130,222) = ( 130 × 222 ) / 2

LCM(130,222) = 28860 / 2

LCM(130,222) = 14430


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 1370/130, 7314/222

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 1370/130, 7314/222?

Answer: GCF of Numerators as per given numbers 1370/130, 7314/222 is

GCF of Numerators i.e. for 1370,7314 is 2

LCM of denominators i.e. for 130,222 is 14430.

Thus, GCF of Fractions is 2/14430.Finally, GCF of Fractions for 1370/130, 7314/222 is 2/14430.