Greatest Common Factor of 997/345, 7027/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 997/345, 7027/920

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 997/345,7027/920

Given fractions are 997/345,7027/920

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 997,7027

Greatest Common Factor of Numerators i.e. GCF of 997,7027 is 1 .

LCM of Denominators means LCM of 345,920 as per the given fractions.

LCM of 345,920 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,7027

GCF of Fractions 997/345,7027/920 is 1/2760

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

Greatest Common Factor of 997,7027 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,7027 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 7027

List of positive integer factors of 7027 that divides 7027 without a remainder.

1,7027

Greatest Common Factor

We found the factors 997,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 997,7027 is 1.

Lets's calculate LCM of 345,920

5 345, 920
23 69, 184
3, 8

∴ So the LCM of the given numbers is 5 x 23 x 3 x 8 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 997/345,7027/920 is 1/2760

Least Common Multiple of 345,920 with GCF Formula

Least Common Multiple of 345,920 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 345,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,920) = 115

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

GCF(345,920) x common factors =115 x 1 = 115

LCM(345,920) = ( 345 × 920 ) / 115

LCM(345,920) = 317400 / 115

LCM(345,920) = 2760


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 997/345, 7027/920

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 997/345, 7027/920?

Answer: GCF of Numerators as per given numbers 997/345, 7027/920 is

GCF of Numerators i.e. for 997,7027 is 1

LCM of denominators i.e. for 345,920 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 997/345, 7027/920 is 1/2760.