Greatest Common Factor of 2965/390, 6295/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2965/390, 6295/154

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 2965/390,6295/154

Given fractions are 2965/390,6295/154

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 2965,6295

Greatest Common Factor of Numerators i.e. GCF of 2965,6295 is 5 .

LCM of Denominators means LCM of 390,154 as per the given fractions.

LCM of 390,154 is 30030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2965,6295

GCF of Fractions 2965/390,6295/154 is 5/30030

5 2965, 6295
593, 1259

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

Greatest Common Factor of 2965,6295 By Matching Biggest Common Factor Method

Greatest Common Factor of 2965,6295 By Matching Biggest Common Factor Method

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Factors of 6295

List of positive integer factors of 6295 that divides 6295 without a remainder.

1,5,1259,6295

Greatest Common Factor

We found the factors 2965,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 2965,6295 is 5.

Lets's calculate LCM of 390,154

2 390, 154
195, 77

∴ So the LCM of the given numbers is 2 x 195 x 77 = 30030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30030

Therefore, the GCF of Fractions 2965/390,6295/154 is 5/30030

Least Common Multiple of 390,154 with GCF Formula

Least Common Multiple of 390,154 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 390,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,154) = 2

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

GCF(390,154) x common factors =2 x 1 = 2

LCM(390,154) = ( 390 × 154 ) / 2

LCM(390,154) = 60060 / 2

LCM(390,154) = 30030


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 2965/390, 6295/154

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 2965/390, 6295/154?

Answer: GCF of Numerators as per given numbers 2965/390, 6295/154 is

GCF of Numerators i.e. for 2965,6295 is 5

LCM of denominators i.e. for 390,154 is 30030.

Thus, GCF of Fractions is 5/30030.Finally, GCF of Fractions for 2965/390, 6295/154 is 5/30030.