Greatest Common Factor of 1381/727, 5292/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1381/727, 5292/480

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 1381/727,5292/480

Given fractions are 1381/727,5292/480

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 1381,5292

Greatest Common Factor of Numerators i.e. GCF of 1381,5292 is 1 .

LCM of Denominators means LCM of 727,480 as per the given fractions.

LCM of 727,480 is 348960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1381,5292

GCF of Fractions 1381/727,5292/480 is 1/348960

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

Greatest Common Factor of 1381,5292 By Matching Biggest Common Factor Method

Greatest Common Factor of 1381,5292 By Matching Biggest Common Factor Method

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1,1381

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

Greatest Common Factor

We found the factors 1381,5292 . The biggest common factor number is the GCF number.
So the greatest common factor 1381,5292 is 1.

Lets's calculate LCM of 727,480

Given numbers has no common factors except 1. So, there LCM is their product i.e 348960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348960

Therefore, the GCF of Fractions 1381/727,5292/480 is 1/348960

Least Common Multiple of 727,480 with GCF Formula

Least Common Multiple of 727,480 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 727,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,480) = 1

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

GCF(727,480) x common factors =1 x 1 = 1

LCM(727,480) = ( 727 × 480 ) / 1

LCM(727,480) = 348960 / 1

LCM(727,480) = 348960


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 1381/727, 5292/480

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 1381/727, 5292/480?

Answer: GCF of Numerators as per given numbers 1381/727, 5292/480 is

GCF of Numerators i.e. for 1381,5292 is 1

LCM of denominators i.e. for 727,480 is 348960.

Thus, GCF of Fractions is 1/348960.Finally, GCF of Fractions for 1381/727, 5292/480 is 1/348960.