Greatest Common Factor of 5130/155, 4238/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5130/155, 4238/574

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 5130/155,4238/574

Given fractions are 5130/155,4238/574

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 5130,4238

Greatest Common Factor of Numerators i.e. GCF of 5130,4238 is 2 .

LCM of Denominators means LCM of 155,574 as per the given fractions.

LCM of 155,574 is 88970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5130,4238

GCF of Fractions 5130/155,4238/574 is 2/88970

2 5130, 4238
2565, 2119

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

Greatest Common Factor of 5130,4238 By Matching Biggest Common Factor Method

Greatest Common Factor of 5130,4238 By Matching Biggest Common Factor Method

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors 5130,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 5130,4238 is 2.

Lets's calculate LCM of 155,574

Given numbers has no common factors except 1. So, there LCM is their product i.e 88970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88970

Therefore, the GCF of Fractions 5130/155,4238/574 is 2/88970

Least Common Multiple of 155,574 with GCF Formula

Least Common Multiple of 155,574 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 155,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,574) = 1

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

GCF(155,574) x common factors =1 x 1 = 1

LCM(155,574) = ( 155 × 574 ) / 1

LCM(155,574) = 88970 / 1

LCM(155,574) = 88970


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 5130/155, 4238/574

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 5130/155, 4238/574?

Answer: GCF of Numerators as per given numbers 5130/155, 4238/574 is

GCF of Numerators i.e. for 5130,4238 is 2

LCM of denominators i.e. for 155,574 is 88970.

Thus, GCF of Fractions is 2/88970.Finally, GCF of Fractions for 5130/155, 4238/574 is 2/88970.