Greatest Common Factor of 341/310, 2509/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 341/310, 2509/197

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 341/310,2509/197

Given fractions are 341/310,2509/197

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 341,2509

Greatest Common Factor of Numerators i.e. GCF of 341,2509 is 1 .

LCM of Denominators means LCM of 310,197 as per the given fractions.

LCM of 310,197 is 61070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 341,2509

GCF of Fractions 341/310,2509/197 is 1/61070

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

Greatest Common Factor of 341,2509 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,2509 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Greatest Common Factor

We found the factors 341,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 341,2509 is 1.

Lets's calculate LCM of 310,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 61070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61070

Therefore, the GCF of Fractions 341/310,2509/197 is 1/61070

Least Common Multiple of 310,197 with GCF Formula

Least Common Multiple of 310,197 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 310,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,197) = 1

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

GCF(310,197) x common factors =1 x 1 = 1

LCM(310,197) = ( 310 × 197 ) / 1

LCM(310,197) = 61070 / 1

LCM(310,197) = 61070


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 341/310, 2509/197

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 341/310, 2509/197?

Answer: GCF of Numerators as per given numbers 341/310, 2509/197 is

GCF of Numerators i.e. for 341,2509 is 1

LCM of denominators i.e. for 310,197 is 61070.

Thus, GCF of Fractions is 1/61070.Finally, GCF of Fractions for 341/310, 2509/197 is 1/61070.