Greatest Common Factor of 307/440, 692/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/440, 692/998

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 307/440,692/998

Given fractions are 307/440,692/998

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 307,692

Greatest Common Factor of Numerators i.e. GCF of 307,692 is 1 .

LCM of Denominators means LCM of 440,998 as per the given fractions.

LCM of 440,998 is 219560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,692

GCF of Fractions 307/440,692/998 is 1/219560

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

Greatest Common Factor of 307,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,692 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 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 307,692 . The biggest common factor number is the GCF number.
So the greatest common factor 307,692 is 1.

Lets's calculate LCM of 440,998

2 440, 998
220, 499

∴ So the LCM of the given numbers is 2 x 220 x 499 = 219560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219560

Therefore, the GCF of Fractions 307/440,692/998 is 1/219560

Least Common Multiple of 440,998 with GCF Formula

Least Common Multiple of 440,998 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 440,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,998) = 2

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

GCF(440,998) x common factors =2 x 1 = 2

LCM(440,998) = ( 440 × 998 ) / 2

LCM(440,998) = 439120 / 2

LCM(440,998) = 219560


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 307/440, 692/998

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 307/440, 692/998?

Answer: GCF of Numerators as per given numbers 307/440, 692/998 is

GCF of Numerators i.e. for 307,692 is 1

LCM of denominators i.e. for 440,998 is 219560.

Thus, GCF of Fractions is 1/219560.Finally, GCF of Fractions for 307/440, 692/998 is 1/219560.