Greatest Common Factor of 5649/920, 9488/1525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5649/920, 9488/1525

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 5649/920,9488/1525

Given fractions are 5649/920,9488/1525

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 5649,9488

Greatest Common Factor of Numerators i.e. GCF of 5649,9488 is 1 .

LCM of Denominators means LCM of 920,1525 as per the given fractions.

LCM of 920,1525 is 280600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5649,9488

GCF of Fractions 5649/920,9488/1525 is 1/280600

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

Greatest Common Factor of 5649,9488 By Matching Biggest Common Factor Method

Greatest Common Factor of 5649,9488 By Matching Biggest Common Factor Method

Factors of 5649

List of positive integer factors of 5649 that divides 5649 without a remainder.

1,3,7,21,269,807,1883,5649

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1,2,4,8,16,593,1186,2372,4744,9488

Greatest Common Factor

We found the factors 5649,9488 . The biggest common factor number is the GCF number.
So the greatest common factor 5649,9488 is 1.

Lets's calculate LCM of 920,1525

5 920, 1525
184, 305

∴ So the LCM of the given numbers is 5 x 184 x 305 = 280600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280600

Therefore, the GCF of Fractions 5649/920,9488/1525 is 1/280600

Least Common Multiple of 920,1525 with GCF Formula

Least Common Multiple of 920,1525 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 920,1525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,1525) = 5

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

GCF(920,1525) x common factors =5 x 1 = 5

LCM(920,1525) = ( 920 × 1525 ) / 5

LCM(920,1525) = 1403000 / 5

LCM(920,1525) = 280600


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 5649/920, 9488/1525

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 5649/920, 9488/1525?

Answer: GCF of Numerators as per given numbers 5649/920, 9488/1525 is

GCF of Numerators i.e. for 5649,9488 is 1

LCM of denominators i.e. for 920,1525 is 280600.

Thus, GCF of Fractions is 1/280600.Finally, GCF of Fractions for 5649/920, 9488/1525 is 1/280600.