Greatest Common Factor of 87/405, 353/945, 510/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 87/405, 353/945, 510/232

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 87/405,353/945,510/232

Given fractions are 87/405,353/945,510/232

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 87,353,510

Greatest Common Factor of Numerators i.e. GCF of 87,353,510 is 1 .

LCM of Denominators means LCM of 405,945,232 as per the given fractions.

LCM of 405,945,232 is 657720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,353,510

GCF of Fractions 87/405,353/945,510/232 is 1/657720

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

Greatest Common Factor of 87,353,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,353,510 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 87,353,510 . The biggest common factor number is the GCF number.
So the greatest common factor 87,353,510 is 1.

Lets's calculate LCM of 405,945,232

3 405, 945, 232
3 135, 315, 232
3 45, 105, 232
5 15, 35, 232
3, 7, 232

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 3 x 7 x 232 = 657720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657720

Therefore, the GCF of Fractions 87/405,353/945,510/232 is 1/657720

Least Common Multiple of 405,945,232 with GCF Formula

Least Common Multiple of 405,945,232 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 405,945,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,945,232) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(405,945,232) x common factors =1 x 135 = 135

LCM(405,945,232) = ( 405 × 945 × 232 ) / 135

LCM(405,945,232) = 88792200 / 135

LCM(405,945,232) = 657720


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 87/405, 353/945, 510/232

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 87/405, 353/945, 510/232?

Answer: GCF of Numerators as per given numbers 87/405, 353/945, 510/232 is

GCF of Numerators i.e. for 87,353,510 is 1

LCM of denominators i.e. for 405,945,232 is 657720.

Thus, GCF of Fractions is 1/657720.Finally, GCF of Fractions for 87/405, 353/945, 510/232 is 1/657720.