Greatest Common Factor of 7317/628, 1927/3123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7317/628, 1927/3123

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 7317/628,1927/3123

Given fractions are 7317/628,1927/3123

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 7317,1927

Greatest Common Factor of Numerators i.e. GCF of 7317,1927 is 1 .

LCM of Denominators means LCM of 628,3123 as per the given fractions.

LCM of 628,3123 is 1961244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7317,1927

GCF of Fractions 7317/628,1927/3123 is 1/1961244

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

Greatest Common Factor of 7317,1927 By Matching Biggest Common Factor Method

Greatest Common Factor of 7317,1927 By Matching Biggest Common Factor Method

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Factors of 1927

List of positive integer factors of 1927 that divides 1927 without a remainder.

1,41,47,1927

Greatest Common Factor

We found the factors 7317,1927 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,1927 is 1.

Lets's calculate LCM of 628,3123

Given numbers has no common factors except 1. So, there LCM is their product i.e 1961244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1961244

Therefore, the GCF of Fractions 7317/628,1927/3123 is 1/1961244

Least Common Multiple of 628,3123 with GCF Formula

Least Common Multiple of 628,3123 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 628,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,3123) = 1

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

GCF(628,3123) x common factors =1 x 1 = 1

LCM(628,3123) = ( 628 × 3123 ) / 1

LCM(628,3123) = 1961244 / 1

LCM(628,3123) = 1961244


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 7317/628, 1927/3123

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 7317/628, 1927/3123?

Answer: GCF of Numerators as per given numbers 7317/628, 1927/3123 is

GCF of Numerators i.e. for 7317,1927 is 1

LCM of denominators i.e. for 628,3123 is 1961244.

Thus, GCF of Fractions is 1/1961244.Finally, GCF of Fractions for 7317/628, 1927/3123 is 1/1961244.