Greatest Common Factor of 28/257, 505/312, 313/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/257, 505/312, 313/484

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 28/257,505/312,313/484

Given fractions are 28/257,505/312,313/484

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 28,505,313

Greatest Common Factor of Numerators i.e. GCF of 28,505,313 is 1 .

LCM of Denominators means LCM of 257,312,484 as per the given fractions.

LCM of 257,312,484 is 9702264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,505,313

GCF of Fractions 28/257,505/312,313/484 is 1/9702264

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

Greatest Common Factor of 28,505,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,505,313 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 28,505,313 . The biggest common factor number is the GCF number.
So the greatest common factor 28,505,313 is 1.

Lets's calculate LCM of 257,312,484

2 257, 312, 484
2 257, 156, 242
257, 78, 121

∴ So the LCM of the given numbers is 2 x 2 x 257 x 78 x 121 = 9702264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9702264

Therefore, the GCF of Fractions 28/257,505/312,313/484 is 1/9702264

Least Common Multiple of 257,312,484 with GCF Formula

Least Common Multiple of 257,312,484 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 257,312,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,312,484) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(257,312,484) x common factors =1 x 4 = 4

LCM(257,312,484) = ( 257 × 312 × 484 ) / 4

LCM(257,312,484) = 38809056 / 4

LCM(257,312,484) = 9702264


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 28/257, 505/312, 313/484

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 28/257, 505/312, 313/484?

Answer: GCF of Numerators as per given numbers 28/257, 505/312, 313/484 is

GCF of Numerators i.e. for 28,505,313 is 1

LCM of denominators i.e. for 257,312,484 is 9702264.

Thus, GCF of Fractions is 1/9702264.Finally, GCF of Fractions for 28/257, 505/312, 313/484 is 1/9702264.