Greatest Common Factor of 5292/38, 7295/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5292/38, 7295/890

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 5292/38,7295/890

Given fractions are 5292/38,7295/890

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 5292,7295

Greatest Common Factor of Numerators i.e. GCF of 5292,7295 is 1 .

LCM of Denominators means LCM of 38,890 as per the given fractions.

LCM of 38,890 is 16910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5292,7295

GCF of Fractions 5292/38,7295/890 is 1/16910

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

Greatest Common Factor of 5292,7295 By Matching Biggest Common Factor Method

Greatest Common Factor of 5292,7295 By Matching Biggest Common Factor Method

Factors of 5292

List of positive integer factors of 5292 that divides 5292 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,49,54,63,84,98,108,126,147,189,196,252,294,378,441,588,756,882,1323,1764,2646,5292

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Greatest Common Factor

We found the factors 5292,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 5292,7295 is 1.

Lets's calculate LCM of 38,890

2 38, 890
19, 445

∴ So the LCM of the given numbers is 2 x 19 x 445 = 16910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16910

Therefore, the GCF of Fractions 5292/38,7295/890 is 1/16910

Least Common Multiple of 38,890 with GCF Formula

Least Common Multiple of 38,890 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 38,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,890) = 2

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

GCF(38,890) x common factors =2 x 1 = 2

LCM(38,890) = ( 38 × 890 ) / 2

LCM(38,890) = 33820 / 2

LCM(38,890) = 16910


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 5292/38, 7295/890

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 5292/38, 7295/890?

Answer: GCF of Numerators as per given numbers 5292/38, 7295/890 is

GCF of Numerators i.e. for 5292,7295 is 1

LCM of denominators i.e. for 38,890 is 16910.

Thus, GCF of Fractions is 1/16910.Finally, GCF of Fractions for 5292/38, 7295/890 is 1/16910.