Greatest Common Factor of 307/45, 685/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/45, 685/989

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 307/45,685/989

Given fractions are 307/45,685/989

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 307,685

Greatest Common Factor of Numerators i.e. GCF of 307,685 is 1 .

LCM of Denominators means LCM of 45,989 as per the given fractions.

LCM of 45,989 is 44505 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,685

GCF of Fractions 307/45,685/989 is 1/44505

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

Greatest Common Factor of 307,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,685 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 307,685 . The biggest common factor number is the GCF number.
So the greatest common factor 307,685 is 1.

Lets's calculate LCM of 45,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 44505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44505

Therefore, the GCF of Fractions 307/45,685/989 is 1/44505

Least Common Multiple of 45,989 with GCF Formula

Least Common Multiple of 45,989 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 45,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,989) = 1

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

GCF(45,989) x common factors =1 x 1 = 1

LCM(45,989) = ( 45 × 989 ) / 1

LCM(45,989) = 44505 / 1

LCM(45,989) = 44505


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 307/45, 685/989

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 307/45, 685/989?

Answer: GCF of Numerators as per given numbers 307/45, 685/989 is

GCF of Numerators i.e. for 307,685 is 1

LCM of denominators i.e. for 45,989 is 44505.

Thus, GCF of Fractions is 1/44505.Finally, GCF of Fractions for 307/45, 685/989 is 1/44505.