Greatest Common Factor of 7477/900, 2830/7414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7477/900, 2830/7414

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 7477/900,2830/7414

Given fractions are 7477/900,2830/7414

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 7477,2830

Greatest Common Factor of Numerators i.e. GCF of 7477,2830 is 1 .

LCM of Denominators means LCM of 900,7414 as per the given fractions.

LCM of 900,7414 is 3336300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7477,2830

GCF of Fractions 7477/900,2830/7414 is 1/3336300

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

Greatest Common Factor of 7477,2830 By Matching Biggest Common Factor Method

Greatest Common Factor of 7477,2830 By Matching Biggest Common Factor Method

Factors of 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1,7477

Factors of 2830

List of positive integer factors of 2830 that divides 2830 without a remainder.

1,2,5,10,283,566,1415,2830

Greatest Common Factor

We found the factors 7477,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 7477,2830 is 1.

Lets's calculate LCM of 900,7414

2 900, 7414
450, 3707

∴ So the LCM of the given numbers is 2 x 450 x 3707 = 3336300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3336300

Therefore, the GCF of Fractions 7477/900,2830/7414 is 1/3336300

Least Common Multiple of 900,7414 with GCF Formula

Least Common Multiple of 900,7414 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 900,7414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,7414) = 2

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

GCF(900,7414) x common factors =2 x 1 = 2

LCM(900,7414) = ( 900 × 7414 ) / 2

LCM(900,7414) = 6672600 / 2

LCM(900,7414) = 3336300


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 7477/900, 2830/7414

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 7477/900, 2830/7414?

Answer: GCF of Numerators as per given numbers 7477/900, 2830/7414 is

GCF of Numerators i.e. for 7477,2830 is 1

LCM of denominators i.e. for 900,7414 is 3336300.

Thus, GCF of Fractions is 1/3336300.Finally, GCF of Fractions for 7477/900, 2830/7414 is 1/3336300.