Greatest Common Factor of 1092/288, 1420/2897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1092/288, 1420/2897

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 1092/288,1420/2897

Given fractions are 1092/288,1420/2897

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 1092,1420

Greatest Common Factor of Numerators i.e. GCF of 1092,1420 is 4 .

LCM of Denominators means LCM of 288,2897 as per the given fractions.

LCM of 288,2897 is 834336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1092,1420

GCF of Fractions 1092/288,1420/2897 is 4/834336

2 1092, 1420
2 546, 710
273, 355

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1092,1420 By Matching Biggest Common Factor Method

Greatest Common Factor of 1092,1420 By Matching Biggest Common Factor Method

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Greatest Common Factor

We found the factors 1092,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 1092,1420 is 4.

Lets's calculate LCM of 288,2897

Given numbers has no common factors except 1. So, there LCM is their product i.e 834336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/834336

Therefore, the GCF of Fractions 1092/288,1420/2897 is 4/834336

Least Common Multiple of 288,2897 with GCF Formula

Least Common Multiple of 288,2897 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 288,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,2897) = 1

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

GCF(288,2897) x common factors =1 x 1 = 1

LCM(288,2897) = ( 288 × 2897 ) / 1

LCM(288,2897) = 834336 / 1

LCM(288,2897) = 834336


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 1092/288, 1420/2897

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 1092/288, 1420/2897?

Answer: GCF of Numerators as per given numbers 1092/288, 1420/2897 is

GCF of Numerators i.e. for 1092,1420 is 4

LCM of denominators i.e. for 288,2897 is 834336.

Thus, GCF of Fractions is 4/834336.Finally, GCF of Fractions for 1092/288, 1420/2897 is 4/834336.