Greatest Common Factor of 408/85, 502/88, 832/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 408/85, 502/88, 832/310

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 408/85,502/88,832/310

Given fractions are 408/85,502/88,832/310

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 408,502,832

Greatest Common Factor of Numerators i.e. GCF of 408,502,832 is 2 .

LCM of Denominators means LCM of 85,88,310 as per the given fractions.

LCM of 85,88,310 is 231880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 408,502,832

GCF of Fractions 408/85,502/88,832/310 is 2/231880

2 408, 502, 832
204, 251, 416

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 408,502,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,502,832 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 408,502,832 . The biggest common factor number is the GCF number.
So the greatest common factor 408,502,832 is 2.

Lets's calculate LCM of 85,88,310

2 85, 88, 310
5 85, 44, 155
17, 44, 31

∴ So the LCM of the given numbers is 2 x 5 x 17 x 44 x 31 = 231880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/231880

Therefore, the GCF of Fractions 408/85,502/88,832/310 is 2/231880

Least Common Multiple of 85,88,310 with GCF Formula

Least Common Multiple of 85,88,310 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 85,88,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,88,310) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,88,310) x common factors =1 x 10 = 10

LCM(85,88,310) = ( 85 × 88 × 310 ) / 10

LCM(85,88,310) = 2318800 / 10

LCM(85,88,310) = 231880


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 408/85, 502/88, 832/310

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 408/85, 502/88, 832/310?

Answer: GCF of Numerators as per given numbers 408/85, 502/88, 832/310 is

GCF of Numerators i.e. for 408,502,832 is 2

LCM of denominators i.e. for 85,88,310 is 231880.

Thus, GCF of Fractions is 2/231880.Finally, GCF of Fractions for 408/85, 502/88, 832/310 is 2/231880.