Greatest Common Factor of 4676/100, 8120/7274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4676/100, 8120/7274

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 4676/100,8120/7274

Given fractions are 4676/100,8120/7274

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 4676,8120

Greatest Common Factor of Numerators i.e. GCF of 4676,8120 is 28 .

LCM of Denominators means LCM of 100,7274 as per the given fractions.

LCM of 100,7274 is 363700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4676,8120

GCF of Fractions 4676/100,8120/7274 is 28/363700

2 4676, 8120
2 2338, 4060
7 1169, 2030
167, 290

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 4676,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 4676,8120 By Matching Biggest Common Factor Method

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1,2,4,7,14,28,167,334,668,1169,2338,4676

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 4676,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 4676,8120 is 28.

Lets's calculate LCM of 100,7274

2 100, 7274
50, 3637

∴ So the LCM of the given numbers is 2 x 50 x 3637 = 363700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/363700

Therefore, the GCF of Fractions 4676/100,8120/7274 is 28/363700

Least Common Multiple of 100,7274 with GCF Formula

Least Common Multiple of 100,7274 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 100,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7274) = 2

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

GCF(100,7274) x common factors =2 x 1 = 2

LCM(100,7274) = ( 100 × 7274 ) / 2

LCM(100,7274) = 727400 / 2

LCM(100,7274) = 363700


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 4676/100, 8120/7274

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 4676/100, 8120/7274?

Answer: GCF of Numerators as per given numbers 4676/100, 8120/7274 is

GCF of Numerators i.e. for 4676,8120 is 28

LCM of denominators i.e. for 100,7274 is 363700.

Thus, GCF of Fractions is 28/363700.Finally, GCF of Fractions for 4676/100, 8120/7274 is 28/363700.