Greatest Common Factor of 1549/372, 8525/2700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1549/372, 8525/2700

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 1549/372,8525/2700

Given fractions are 1549/372,8525/2700

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 1549,8525

Greatest Common Factor of Numerators i.e. GCF of 1549,8525 is 1 .

LCM of Denominators means LCM of 372,2700 as per the given fractions.

LCM of 372,2700 is 83700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1549,8525

GCF of Fractions 1549/372,8525/2700 is 1/83700

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

Greatest Common Factor of 1549,8525 By Matching Biggest Common Factor Method

Greatest Common Factor of 1549,8525 By Matching Biggest Common Factor Method

Factors of 1549

List of positive integer factors of 1549 that divides 1549 without a remainder.

1,1549

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

Greatest Common Factor

We found the factors 1549,8525 . The biggest common factor number is the GCF number.
So the greatest common factor 1549,8525 is 1.

Lets's calculate LCM of 372,2700

2 372, 2700
2 186, 1350
3 93, 675
31, 225

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 225 = 83700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83700

Therefore, the GCF of Fractions 1549/372,8525/2700 is 1/83700

Least Common Multiple of 372,2700 with GCF Formula

Least Common Multiple of 372,2700 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 372,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,2700) = 12

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

GCF(372,2700) x common factors =12 x 1 = 12

LCM(372,2700) = ( 372 × 2700 ) / 12

LCM(372,2700) = 1004400 / 12

LCM(372,2700) = 83700


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 1549/372, 8525/2700

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 1549/372, 8525/2700?

Answer: GCF of Numerators as per given numbers 1549/372, 8525/2700 is

GCF of Numerators i.e. for 1549,8525 is 1

LCM of denominators i.e. for 372,2700 is 83700.

Thus, GCF of Fractions is 1/83700.Finally, GCF of Fractions for 1549/372, 8525/2700 is 1/83700.