Greatest Common Factor of 4282/552, 2923/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4282/552, 2923/980

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 4282/552,2923/980

Given fractions are 4282/552,2923/980

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 4282,2923

Greatest Common Factor of Numerators i.e. GCF of 4282,2923 is 1 .

LCM of Denominators means LCM of 552,980 as per the given fractions.

LCM of 552,980 is 135240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4282,2923

GCF of Fractions 4282/552,2923/980 is 1/135240

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

Greatest Common Factor of 4282,2923 By Matching Biggest Common Factor Method

Greatest Common Factor of 4282,2923 By Matching Biggest Common Factor Method

Factors of 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1,2,2141,4282

Factors of 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1,37,79,2923

Greatest Common Factor

We found the factors 4282,2923 . The biggest common factor number is the GCF number.
So the greatest common factor 4282,2923 is 1.

Lets's calculate LCM of 552,980

2 552, 980
2 276, 490
138, 245

∴ So the LCM of the given numbers is 2 x 2 x 138 x 245 = 135240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135240

Therefore, the GCF of Fractions 4282/552,2923/980 is 1/135240

Least Common Multiple of 552,980 with GCF Formula

Least Common Multiple of 552,980 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 552,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,980) = 4

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

GCF(552,980) x common factors =4 x 1 = 4

LCM(552,980) = ( 552 × 980 ) / 4

LCM(552,980) = 540960 / 4

LCM(552,980) = 135240


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 4282/552, 2923/980

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 4282/552, 2923/980?

Answer: GCF of Numerators as per given numbers 4282/552, 2923/980 is

GCF of Numerators i.e. for 4282,2923 is 1

LCM of denominators i.e. for 552,980 is 135240.

Thus, GCF of Fractions is 1/135240.Finally, GCF of Fractions for 4282/552, 2923/980 is 1/135240.