Greatest Common Factor of 3022/741, 2450/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3022/741, 2450/413

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 3022/741,2450/413

Given fractions are 3022/741,2450/413

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 3022,2450

Greatest Common Factor of Numerators i.e. GCF of 3022,2450 is 2 .

LCM of Denominators means LCM of 741,413 as per the given fractions.

LCM of 741,413 is 306033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3022,2450

GCF of Fractions 3022/741,2450/413 is 2/306033

2 3022, 2450
1511, 1225

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

Greatest Common Factor of 3022,2450 By Matching Biggest Common Factor Method

Greatest Common Factor of 3022,2450 By Matching Biggest Common Factor Method

Factors of 3022

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

1,2,1511,3022

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Greatest Common Factor

We found the factors 3022,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 3022,2450 is 2.

Lets's calculate LCM of 741,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 306033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306033

Therefore, the GCF of Fractions 3022/741,2450/413 is 2/306033

Least Common Multiple of 741,413 with GCF Formula

Least Common Multiple of 741,413 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 741,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,413) = 1

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

GCF(741,413) x common factors =1 x 1 = 1

LCM(741,413) = ( 741 × 413 ) / 1

LCM(741,413) = 306033 / 1

LCM(741,413) = 306033


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 3022/741, 2450/413

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 3022/741, 2450/413?

Answer: GCF of Numerators as per given numbers 3022/741, 2450/413 is

GCF of Numerators i.e. for 3022,2450 is 2

LCM of denominators i.e. for 741,413 is 306033.

Thus, GCF of Fractions is 2/306033.Finally, GCF of Fractions for 3022/741, 2450/413 is 2/306033.