Greatest Common Factor of 5024/523, 7308/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5024/523, 7308/278

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 5024/523,7308/278

Given fractions are 5024/523,7308/278

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 5024,7308

Greatest Common Factor of Numerators i.e. GCF of 5024,7308 is 4 .

LCM of Denominators means LCM of 523,278 as per the given fractions.

LCM of 523,278 is 145394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5024,7308

GCF of Fractions 5024/523,7308/278 is 4/145394

2 5024, 7308
2 2512, 3654
1256, 1827

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5024,7308 By Matching Biggest Common Factor Method

Greatest Common Factor of 5024,7308 By Matching Biggest Common Factor Method

Factors of 5024

List of positive integer factors of 5024 that divides 5024 without a remainder.

1,2,4,8,16,32,157,314,628,1256,2512,5024

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308

Greatest Common Factor

We found the factors 5024,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,7308 is 4.

Lets's calculate LCM of 523,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 145394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/145394

Therefore, the GCF of Fractions 5024/523,7308/278 is 4/145394

Least Common Multiple of 523,278 with GCF Formula

Least Common Multiple of 523,278 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 523,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,278) = 1

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

GCF(523,278) x common factors =1 x 1 = 1

LCM(523,278) = ( 523 × 278 ) / 1

LCM(523,278) = 145394 / 1

LCM(523,278) = 145394


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 5024/523, 7308/278

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 5024/523, 7308/278?

Answer: GCF of Numerators as per given numbers 5024/523, 7308/278 is

GCF of Numerators i.e. for 5024,7308 is 4

LCM of denominators i.e. for 523,278 is 145394.

Thus, GCF of Fractions is 4/145394.Finally, GCF of Fractions for 5024/523, 7308/278 is 4/145394.