Greatest Common Factor of 1300/45, 4138/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1300/45, 4138/370

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 1300/45,4138/370

Given fractions are 1300/45,4138/370

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 1300,4138

Greatest Common Factor of Numerators i.e. GCF of 1300,4138 is 2 .

LCM of Denominators means LCM of 45,370 as per the given fractions.

LCM of 45,370 is 3330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1300,4138

GCF of Fractions 1300/45,4138/370 is 2/3330

2 1300, 4138
650, 2069

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

Greatest Common Factor of 1300,4138 By Matching Biggest Common Factor Method

Greatest Common Factor of 1300,4138 By Matching Biggest Common Factor Method

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Greatest Common Factor

We found the factors 1300,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 1300,4138 is 2.

Lets's calculate LCM of 45,370

5 45, 370
9, 74

∴ So the LCM of the given numbers is 5 x 9 x 74 = 3330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3330

Therefore, the GCF of Fractions 1300/45,4138/370 is 2/3330

Least Common Multiple of 45,370 with GCF Formula

Least Common Multiple of 45,370 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 45,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,370) = 5

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

GCF(45,370) x common factors =5 x 1 = 5

LCM(45,370) = ( 45 × 370 ) / 5

LCM(45,370) = 16650 / 5

LCM(45,370) = 3330


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 1300/45, 4138/370

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 1300/45, 4138/370?

Answer: GCF of Numerators as per given numbers 1300/45, 4138/370 is

GCF of Numerators i.e. for 1300,4138 is 2

LCM of denominators i.e. for 45,370 is 3330.

Thus, GCF of Fractions is 2/3330.Finally, GCF of Fractions for 1300/45, 4138/370 is 2/3330.