Greatest Common Factor of 7450/30, 3370/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7450/30, 3370/500

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 7450/30,3370/500

Given fractions are 7450/30,3370/500

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 7450,3370

Greatest Common Factor of Numerators i.e. GCF of 7450,3370 is 10 .

LCM of Denominators means LCM of 30,500 as per the given fractions.

LCM of 30,500 is 1500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7450,3370

GCF of Fractions 7450/30,3370/500 is 10/1500

2 7450, 3370
5 3725, 1685
745, 337

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7450,3370 By Matching Biggest Common Factor Method

Greatest Common Factor of 7450,3370 By Matching Biggest Common Factor Method

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1,2,5,10,337,674,1685,3370

Greatest Common Factor

We found the factors 7450,3370 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,3370 is 10.

Lets's calculate LCM of 30,500

2 30, 500
5 15, 250
3, 50

∴ So the LCM of the given numbers is 2 x 5 x 3 x 50 = 1500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1500

Therefore, the GCF of Fractions 7450/30,3370/500 is 10/1500

Least Common Multiple of 30,500 with GCF Formula

Least Common Multiple of 30,500 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 30,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,500) = 10

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

GCF(30,500) x common factors =10 x 1 = 10

LCM(30,500) = ( 30 × 500 ) / 10

LCM(30,500) = 15000 / 10

LCM(30,500) = 1500


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 7450/30, 3370/500

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 7450/30, 3370/500?

Answer: GCF of Numerators as per given numbers 7450/30, 3370/500 is

GCF of Numerators i.e. for 7450,3370 is 10

LCM of denominators i.e. for 30,500 is 1500.

Thus, GCF of Fractions is 10/1500.Finally, GCF of Fractions for 7450/30, 3370/500 is 10/1500.