Greatest Common Factor of 259/22, 546/62, 694/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 259/22, 546/62, 694/129

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 259/22,546/62,694/129

Given fractions are 259/22,546/62,694/129

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 259,546,694

Greatest Common Factor of Numerators i.e. GCF of 259,546,694 is 1 .

LCM of Denominators means LCM of 22,62,129 as per the given fractions.

LCM of 22,62,129 is 87978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 259,546,694

GCF of Fractions 259/22,546/62,694/129 is 1/87978

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

Greatest Common Factor of 259,546,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,546,694 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 259,546,694 . The biggest common factor number is the GCF number.
So the greatest common factor 259,546,694 is 1.

Lets's calculate LCM of 22,62,129

2 22, 62, 129
11, 31, 129

∴ So the LCM of the given numbers is 2 x 11 x 31 x 129 = 87978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87978

Therefore, the GCF of Fractions 259/22,546/62,694/129 is 1/87978

Least Common Multiple of 22,62,129 with GCF Formula

Least Common Multiple of 22,62,129 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 22,62,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,62,129) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,62,129) x common factors =1 x 2 = 2

LCM(22,62,129) = ( 22 × 62 × 129 ) / 2

LCM(22,62,129) = 175956 / 2

LCM(22,62,129) = 87978


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 259/22, 546/62, 694/129

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 259/22, 546/62, 694/129?

Answer: GCF of Numerators as per given numbers 259/22, 546/62, 694/129 is

GCF of Numerators i.e. for 259,546,694 is 1

LCM of denominators i.e. for 22,62,129 is 87978.

Thus, GCF of Fractions is 1/87978.Finally, GCF of Fractions for 259/22, 546/62, 694/129 is 1/87978.