Greatest Common Factor of 2345/128, 4977/8660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2345/128, 4977/8660

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 2345/128,4977/8660

Given fractions are 2345/128,4977/8660

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 2345,4977

Greatest Common Factor of Numerators i.e. GCF of 2345,4977 is 7 .

LCM of Denominators means LCM of 128,8660 as per the given fractions.

LCM of 128,8660 is 277120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2345,4977

GCF of Fractions 2345/128,4977/8660 is 7/277120

7 2345, 4977
335, 711

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2345,4977 By Matching Biggest Common Factor Method

Greatest Common Factor of 2345,4977 By Matching Biggest Common Factor Method

Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1,5,7,35,67,335,469,2345

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors 2345,4977 . The biggest common factor number is the GCF number.
So the greatest common factor 2345,4977 is 7.

Lets's calculate LCM of 128,8660

2 128, 8660
2 64, 4330
32, 2165

∴ So the LCM of the given numbers is 2 x 2 x 32 x 2165 = 277120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/277120

Therefore, the GCF of Fractions 2345/128,4977/8660 is 7/277120

Least Common Multiple of 128,8660 with GCF Formula

Least Common Multiple of 128,8660 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 128,8660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,8660) = 4

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

GCF(128,8660) x common factors =4 x 1 = 4

LCM(128,8660) = ( 128 × 8660 ) / 4

LCM(128,8660) = 1108480 / 4

LCM(128,8660) = 277120


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 2345/128, 4977/8660

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 2345/128, 4977/8660?

Answer: GCF of Numerators as per given numbers 2345/128, 4977/8660 is

GCF of Numerators i.e. for 2345,4977 is 7

LCM of denominators i.e. for 128,8660 is 277120.

Thus, GCF of Fractions is 7/277120.Finally, GCF of Fractions for 2345/128, 4977/8660 is 7/277120.