Greatest Common Factor of 413/122, 854/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 413/122, 854/245

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 413/122,854/245

Given fractions are 413/122,854/245

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 413,854

Greatest Common Factor of Numerators i.e. GCF of 413,854 is 7 .

LCM of Denominators means LCM of 122,245 as per the given fractions.

LCM of 122,245 is 29890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 413,854

GCF of Fractions 413/122,854/245 is 7/29890

7 413, 854
59, 122

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 413,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,854 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 413,854 . The biggest common factor number is the GCF number.
So the greatest common factor 413,854 is 7.

Lets's calculate LCM of 122,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 29890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/29890

Therefore, the GCF of Fractions 413/122,854/245 is 7/29890

Least Common Multiple of 122,245 with GCF Formula

Least Common Multiple of 122,245 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 122,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,245) = 1

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

GCF(122,245) x common factors =1 x 1 = 1

LCM(122,245) = ( 122 × 245 ) / 1

LCM(122,245) = 29890 / 1

LCM(122,245) = 29890


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 413/122, 854/245

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 413/122, 854/245?

Answer: GCF of Numerators as per given numbers 413/122, 854/245 is

GCF of Numerators i.e. for 413,854 is 7

LCM of denominators i.e. for 122,245 is 29890.

Thus, GCF of Fractions is 7/29890.Finally, GCF of Fractions for 413/122, 854/245 is 7/29890.