Greatest Common Factor of 2650/17, 3022/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2650/17, 3022/202

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 2650/17,3022/202

Given fractions are 2650/17,3022/202

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 2650,3022

Greatest Common Factor of Numerators i.e. GCF of 2650,3022 is 2 .

LCM of Denominators means LCM of 17,202 as per the given fractions.

LCM of 17,202 is 3434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2650,3022

GCF of Fractions 2650/17,3022/202 is 2/3434

2 2650, 3022
1325, 1511

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2650,3022 By Matching Biggest Common Factor Method

Greatest Common Factor of 2650,3022 By Matching Biggest Common Factor Method

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1,2,5,10,25,50,53,106,265,530,1325,2650

Factors of 3022

List of positive integer factors of 3022 that divides 3022 without a remainder.

1,2,1511,3022

Greatest Common Factor

We found the factors 2650,3022 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,3022 is 2.

Lets's calculate LCM of 17,202

Given numbers has no common factors except 1. So, there LCM is their product i.e 3434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3434

Therefore, the GCF of Fractions 2650/17,3022/202 is 2/3434

Least Common Multiple of 17,202 with GCF Formula

Least Common Multiple of 17,202 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 17,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,202) = 1

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

GCF(17,202) x common factors =1 x 1 = 1

LCM(17,202) = ( 17 × 202 ) / 1

LCM(17,202) = 3434 / 1

LCM(17,202) = 3434


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 2650/17, 3022/202

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 2650/17, 3022/202?

Answer: GCF of Numerators as per given numbers 2650/17, 3022/202 is

GCF of Numerators i.e. for 2650,3022 is 2

LCM of denominators i.e. for 17,202 is 3434.

Thus, GCF of Fractions is 2/3434.Finally, GCF of Fractions for 2650/17, 3022/202 is 2/3434.