Greatest Common Factor of 7031/723, 2770/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7031/723, 2770/508

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 7031/723,2770/508

Given fractions are 7031/723,2770/508

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 7031,2770

Greatest Common Factor of Numerators i.e. GCF of 7031,2770 is 1 .

LCM of Denominators means LCM of 723,508 as per the given fractions.

LCM of 723,508 is 367284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7031,2770

GCF of Fractions 7031/723,2770/508 is 1/367284

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

Greatest Common Factor of 7031,2770 By Matching Biggest Common Factor Method

Greatest Common Factor of 7031,2770 By Matching Biggest Common Factor Method

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1,79,89,7031

Factors of 2770

List of positive integer factors of 2770 that divides 2770 without a remainder.

1,2,5,10,277,554,1385,2770

Greatest Common Factor

We found the factors 7031,2770 . The biggest common factor number is the GCF number.
So the greatest common factor 7031,2770 is 1.

Lets's calculate LCM of 723,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 367284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367284

Therefore, the GCF of Fractions 7031/723,2770/508 is 1/367284

Least Common Multiple of 723,508 with GCF Formula

Least Common Multiple of 723,508 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 723,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,508) = 1

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

GCF(723,508) x common factors =1 x 1 = 1

LCM(723,508) = ( 723 × 508 ) / 1

LCM(723,508) = 367284 / 1

LCM(723,508) = 367284


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 7031/723, 2770/508

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 7031/723, 2770/508?

Answer: GCF of Numerators as per given numbers 7031/723, 2770/508 is

GCF of Numerators i.e. for 7031,2770 is 1

LCM of denominators i.e. for 723,508 is 367284.

Thus, GCF of Fractions is 1/367284.Finally, GCF of Fractions for 7031/723, 2770/508 is 1/367284.