Greatest Common Factor of 3635/390, 5110/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3635/390, 5110/445

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 3635/390,5110/445

Given fractions are 3635/390,5110/445

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 3635,5110

Greatest Common Factor of Numerators i.e. GCF of 3635,5110 is 5 .

LCM of Denominators means LCM of 390,445 as per the given fractions.

LCM of 390,445 is 34710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3635,5110

GCF of Fractions 3635/390,5110/445 is 5/34710

5 3635, 5110
727, 1022

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

Greatest Common Factor of 3635,5110 By Matching Biggest Common Factor Method

Greatest Common Factor of 3635,5110 By Matching Biggest Common Factor Method

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Greatest Common Factor

We found the factors 3635,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 3635,5110 is 5.

Lets's calculate LCM of 390,445

5 390, 445
78, 89

∴ So the LCM of the given numbers is 5 x 78 x 89 = 34710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/34710

Therefore, the GCF of Fractions 3635/390,5110/445 is 5/34710

Least Common Multiple of 390,445 with GCF Formula

Least Common Multiple of 390,445 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 390,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,445) = 5

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

GCF(390,445) x common factors =5 x 1 = 5

LCM(390,445) = ( 390 × 445 ) / 5

LCM(390,445) = 173550 / 5

LCM(390,445) = 34710


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 3635/390, 5110/445

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 3635/390, 5110/445?

Answer: GCF of Numerators as per given numbers 3635/390, 5110/445 is

GCF of Numerators i.e. for 3635,5110 is 5

LCM of denominators i.e. for 390,445 is 34710.

Thus, GCF of Fractions is 5/34710.Finally, GCF of Fractions for 3635/390, 5110/445 is 5/34710.