Greatest Common Factor of 7295/638, 5525/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7295/638, 5525/950

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 7295/638,5525/950

Given fractions are 7295/638,5525/950

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 7295,5525

Greatest Common Factor of Numerators i.e. GCF of 7295,5525 is 5 .

LCM of Denominators means LCM of 638,950 as per the given fractions.

LCM of 638,950 is 303050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7295,5525

GCF of Fractions 7295/638,5525/950 is 5/303050

5 7295, 5525
1459, 1105

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7295,5525 By Matching Biggest Common Factor Method

Greatest Common Factor of 7295,5525 By Matching Biggest Common Factor Method

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1,5,13,17,25,65,85,221,325,425,1105,5525

Greatest Common Factor

We found the factors 7295,5525 . The biggest common factor number is the GCF number.
So the greatest common factor 7295,5525 is 5.

Lets's calculate LCM of 638,950

2 638, 950
319, 475

∴ So the LCM of the given numbers is 2 x 319 x 475 = 303050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/303050

Therefore, the GCF of Fractions 7295/638,5525/950 is 5/303050

Least Common Multiple of 638,950 with GCF Formula

Least Common Multiple of 638,950 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 638,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,950) = 2

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

GCF(638,950) x common factors =2 x 1 = 2

LCM(638,950) = ( 638 × 950 ) / 2

LCM(638,950) = 606100 / 2

LCM(638,950) = 303050


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 7295/638, 5525/950

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 7295/638, 5525/950?

Answer: GCF of Numerators as per given numbers 7295/638, 5525/950 is

GCF of Numerators i.e. for 7295,5525 is 5

LCM of denominators i.e. for 638,950 is 303050.

Thus, GCF of Fractions is 5/303050.Finally, GCF of Fractions for 7295/638, 5525/950 is 5/303050.