Greatest Common Factor of 245/403, 1241/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/403, 1241/757

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 245/403,1241/757

Given fractions are 245/403,1241/757

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 245,1241

Greatest Common Factor of Numerators i.e. GCF of 245,1241 is 1 .

LCM of Denominators means LCM of 403,757 as per the given fractions.

LCM of 403,757 is 305071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,1241

GCF of Fractions 245/403,1241/757 is 1/305071

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 245,1241 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,1241 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 1241

List of positive integer factors of 1241 that divides 1241 without a remainder.

1,17,73,1241

Greatest Common Factor

We found the factors 245,1241 . The biggest common factor number is the GCF number.
So the greatest common factor 245,1241 is 1.

Lets's calculate LCM of 403,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 305071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305071

Therefore, the GCF of Fractions 245/403,1241/757 is 1/305071

Least Common Multiple of 403,757 with GCF Formula

Least Common Multiple of 403,757 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 403,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,757) = 1

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

GCF(403,757) x common factors =1 x 1 = 1

LCM(403,757) = ( 403 × 757 ) / 1

LCM(403,757) = 305071 / 1

LCM(403,757) = 305071


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 245/403, 1241/757

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 245/403, 1241/757?

Answer: GCF of Numerators as per given numbers 245/403, 1241/757 is

GCF of Numerators i.e. for 245,1241 is 1

LCM of denominators i.e. for 403,757 is 305071.

Thus, GCF of Fractions is 1/305071.Finally, GCF of Fractions for 245/403, 1241/757 is 1/305071.