Greatest Common Factor of 308/745, 4500/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 308/745, 4500/774

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 308/745,4500/774

Given fractions are 308/745,4500/774

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 308,4500

Greatest Common Factor of Numerators i.e. GCF of 308,4500 is 4 .

LCM of Denominators means LCM of 745,774 as per the given fractions.

LCM of 745,774 is 576630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 308,4500

GCF of Fractions 308/745,4500/774 is 4/576630

2 308, 4500
2 154, 2250
77, 1125

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

Greatest Common Factor of 308,4500 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,4500 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 4500

List of positive integer factors of 4500 that divides 4500 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500

Greatest Common Factor

We found the factors 308,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 308,4500 is 4.

Lets's calculate LCM of 745,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 576630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/576630

Therefore, the GCF of Fractions 308/745,4500/774 is 4/576630

Least Common Multiple of 745,774 with GCF Formula

Least Common Multiple of 745,774 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 745,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,774) = 1

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

GCF(745,774) x common factors =1 x 1 = 1

LCM(745,774) = ( 745 × 774 ) / 1

LCM(745,774) = 576630 / 1

LCM(745,774) = 576630


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 308/745, 4500/774

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 308/745, 4500/774?

Answer: GCF of Numerators as per given numbers 308/745, 4500/774 is

GCF of Numerators i.e. for 308,4500 is 4

LCM of denominators i.e. for 745,774 is 576630.

Thus, GCF of Fractions is 4/576630.Finally, GCF of Fractions for 308/745, 4500/774 is 4/576630.