Greatest Common Factor of 799/96, 400/60, 278/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 799/96, 400/60, 278/335

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 799/96,400/60,278/335

Given fractions are 799/96,400/60,278/335

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 799,400,278

Greatest Common Factor of Numerators i.e. GCF of 799,400,278 is 1 .

LCM of Denominators means LCM of 96,60,335 as per the given fractions.

LCM of 96,60,335 is 32160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 799,400,278

GCF of Fractions 799/96,400/60,278/335 is 1/32160

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

Greatest Common Factor of 799,400,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,400,278 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 799,400,278 . The biggest common factor number is the GCF number.
So the greatest common factor 799,400,278 is 1.

Lets's calculate LCM of 96,60,335

2 96, 60, 335
2 48, 30, 335
3 24, 15, 335
5 8, 5, 335
8, 1, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 1 x 67 = 32160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32160

Therefore, the GCF of Fractions 799/96,400/60,278/335 is 1/32160

Least Common Multiple of 96,60,335 with GCF Formula

Least Common Multiple of 96,60,335 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 96,60,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,60,335) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(96,60,335) x common factors =1 x 60 = 60

LCM(96,60,335) = ( 96 × 60 × 335 ) / 60

LCM(96,60,335) = 1929600 / 60

LCM(96,60,335) = 32160


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 799/96, 400/60, 278/335

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 799/96, 400/60, 278/335?

Answer: GCF of Numerators as per given numbers 799/96, 400/60, 278/335 is

GCF of Numerators i.e. for 799,400,278 is 1

LCM of denominators i.e. for 96,60,335 is 32160.

Thus, GCF of Fractions is 1/32160.Finally, GCF of Fractions for 799/96, 400/60, 278/335 is 1/32160.