Greatest Common Factor of 5030/55, 2295/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5030/55, 2295/790

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 5030/55,2295/790

Given fractions are 5030/55,2295/790

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 5030,2295

Greatest Common Factor of Numerators i.e. GCF of 5030,2295 is 5 .

LCM of Denominators means LCM of 55,790 as per the given fractions.

LCM of 55,790 is 8690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5030,2295

GCF of Fractions 5030/55,2295/790 is 5/8690

5 5030, 2295
1006, 459

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

Greatest Common Factor of 5030,2295 By Matching Biggest Common Factor Method

Greatest Common Factor of 5030,2295 By Matching Biggest Common Factor Method

Factors of 5030

List of positive integer factors of 5030 that divides 5030 without a remainder.

1,2,5,10,503,1006,2515,5030

Factors of 2295

List of positive integer factors of 2295 that divides 2295 without a remainder.

1,3,5,9,15,17,27,45,51,85,135,153,255,459,765,2295

Greatest Common Factor

We found the factors 5030,2295 . The biggest common factor number is the GCF number.
So the greatest common factor 5030,2295 is 5.

Lets's calculate LCM of 55,790

5 55, 790
11, 158

∴ So the LCM of the given numbers is 5 x 11 x 158 = 8690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8690

Therefore, the GCF of Fractions 5030/55,2295/790 is 5/8690

Least Common Multiple of 55,790 with GCF Formula

Least Common Multiple of 55,790 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 55,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,790) = 5

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

GCF(55,790) x common factors =5 x 1 = 5

LCM(55,790) = ( 55 × 790 ) / 5

LCM(55,790) = 43450 / 5

LCM(55,790) = 8690


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 5030/55, 2295/790

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 5030/55, 2295/790?

Answer: GCF of Numerators as per given numbers 5030/55, 2295/790 is

GCF of Numerators i.e. for 5030,2295 is 5

LCM of denominators i.e. for 55,790 is 8690.

Thus, GCF of Fractions is 5/8690.Finally, GCF of Fractions for 5030/55, 2295/790 is 5/8690.