Greatest Common Factor of 1087/488, 9074/3203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1087/488, 9074/3203

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 1087/488,9074/3203

Given fractions are 1087/488,9074/3203

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 1087,9074

Greatest Common Factor of Numerators i.e. GCF of 1087,9074 is 1 .

LCM of Denominators means LCM of 488,3203 as per the given fractions.

LCM of 488,3203 is 1563064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1087,9074

GCF of Fractions 1087/488,9074/3203 is 1/1563064

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

Greatest Common Factor of 1087,9074 By Matching Biggest Common Factor Method

Greatest Common Factor of 1087,9074 By Matching Biggest Common Factor Method

Factors of 1087

List of positive integer factors of 1087 that divides 1087 without a remainder.

1,1087

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1,2,13,26,349,698,4537,9074

Greatest Common Factor

We found the factors 1087,9074 . The biggest common factor number is the GCF number.
So the greatest common factor 1087,9074 is 1.

Lets's calculate LCM of 488,3203

Given numbers has no common factors except 1. So, there LCM is their product i.e 1563064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1563064

Therefore, the GCF of Fractions 1087/488,9074/3203 is 1/1563064

Least Common Multiple of 488,3203 with GCF Formula

Least Common Multiple of 488,3203 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 488,3203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,3203) = 1

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

GCF(488,3203) x common factors =1 x 1 = 1

LCM(488,3203) = ( 488 × 3203 ) / 1

LCM(488,3203) = 1563064 / 1

LCM(488,3203) = 1563064


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 1087/488, 9074/3203

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 1087/488, 9074/3203?

Answer: GCF of Numerators as per given numbers 1087/488, 9074/3203 is

GCF of Numerators i.e. for 1087,9074 is 1

LCM of denominators i.e. for 488,3203 is 1563064.

Thus, GCF of Fractions is 1/1563064.Finally, GCF of Fractions for 1087/488, 9074/3203 is 1/1563064.