Greatest Common Factor of 28/697, 788/348, 671/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/697, 788/348, 671/260

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 28/697,788/348,671/260

Given fractions are 28/697,788/348,671/260

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 28,788,671

Greatest Common Factor of Numerators i.e. GCF of 28,788,671 is 1 .

LCM of Denominators means LCM of 697,348,260 as per the given fractions.

LCM of 697,348,260 is 15766140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,788,671

GCF of Fractions 28/697,788/348,671/260 is 1/15766140

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

Greatest Common Factor of 28,788,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,788,671 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 28,788,671 . The biggest common factor number is the GCF number.
So the greatest common factor 28,788,671 is 1.

Lets's calculate LCM of 697,348,260

2 697, 348, 260
2 697, 174, 130
697, 87, 65

∴ So the LCM of the given numbers is 2 x 2 x 697 x 87 x 65 = 15766140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15766140

Therefore, the GCF of Fractions 28/697,788/348,671/260 is 1/15766140

Least Common Multiple of 697,348,260 with GCF Formula

Least Common Multiple of 697,348,260 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 697,348,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,348,260) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(697,348,260) x common factors =1 x 4 = 4

LCM(697,348,260) = ( 697 × 348 × 260 ) / 4

LCM(697,348,260) = 63064560 / 4

LCM(697,348,260) = 15766140


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 28/697, 788/348, 671/260

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 28/697, 788/348, 671/260?

Answer: GCF of Numerators as per given numbers 28/697, 788/348, 671/260 is

GCF of Numerators i.e. for 28,788,671 is 1

LCM of denominators i.e. for 697,348,260 is 15766140.

Thus, GCF of Fractions is 1/15766140.Finally, GCF of Fractions for 28/697, 788/348, 671/260 is 1/15766140.