Greatest Common Factor of 289/55, 1292/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/55, 1292/654

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 289/55,1292/654

Given fractions are 289/55,1292/654

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 289,1292

Greatest Common Factor of Numerators i.e. GCF of 289,1292 is 17 .

LCM of Denominators means LCM of 55,654 as per the given fractions.

LCM of 55,654 is 35970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,1292

GCF of Fractions 289/55,1292/654 is 17/35970

17 289, 1292
17, 76

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 289,1292 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,1292 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 1292

List of positive integer factors of 1292 that divides 1292 without a remainder.

1,2,4,17,19,34,38,68,76,323,646,1292

Greatest Common Factor

We found the factors 289,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 289,1292 is 17.

Lets's calculate LCM of 55,654

Given numbers has no common factors except 1. So, there LCM is their product i.e 35970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/35970

Therefore, the GCF of Fractions 289/55,1292/654 is 17/35970

Least Common Multiple of 55,654 with GCF Formula

Least Common Multiple of 55,654 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 55,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,654) = 1

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

GCF(55,654) x common factors =1 x 1 = 1

LCM(55,654) = ( 55 × 654 ) / 1

LCM(55,654) = 35970 / 1

LCM(55,654) = 35970


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 289/55, 1292/654

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 289/55, 1292/654?

Answer: GCF of Numerators as per given numbers 289/55, 1292/654 is

GCF of Numerators i.e. for 289,1292 is 17

LCM of denominators i.e. for 55,654 is 35970.

Thus, GCF of Fractions is 17/35970.Finally, GCF of Fractions for 289/55, 1292/654 is 17/35970.