Greatest Common Factor of 308/574, 763/792, 122/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/574, 763/792, 122/314

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 308/574,763/792,122/314

Given fractions are 308/574,763/792,122/314

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 308,763,122

Greatest Common Factor of Numerators i.e. GCF of 308,763,122 is 1 .

LCM of Denominators means LCM of 574,792,314 as per the given fractions.

LCM of 574,792,314 is 35686728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,763,122

GCF of Fractions 308/574,763/792,122/314 is 1/35686728

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

Greatest Common Factor of 308,763,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,763,122 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 308,763,122 . The biggest common factor number is the GCF number.
So the greatest common factor 308,763,122 is 1.

Lets's calculate LCM of 574,792,314

2 574, 792, 314
287, 396, 157

∴ So the LCM of the given numbers is 2 x 287 x 396 x 157 = 35686728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35686728

Therefore, the GCF of Fractions 308/574,763/792,122/314 is 1/35686728

Least Common Multiple of 574,792,314 with GCF Formula

Least Common Multiple of 574,792,314 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 574,792,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,792,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(574,792,314) x common factors =2 x 2 = 4

LCM(574,792,314) = ( 574 × 792 × 314 ) / 4

LCM(574,792,314) = 142746912 / 4

LCM(574,792,314) = 35686728


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 308/574, 763/792, 122/314

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 308/574, 763/792, 122/314?

Answer: GCF of Numerators as per given numbers 308/574, 763/792, 122/314 is

GCF of Numerators i.e. for 308,763,122 is 1

LCM of denominators i.e. for 574,792,314 is 35686728.

Thus, GCF of Fractions is 1/35686728.Finally, GCF of Fractions for 308/574, 763/792, 122/314 is 1/35686728.