Greatest Common Factor of 775/78, 151/19, 309/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/78, 151/19, 309/490

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 775/78,151/19,309/490

Given fractions are 775/78,151/19,309/490

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 775,151,309

Greatest Common Factor of Numerators i.e. GCF of 775,151,309 is 1 .

LCM of Denominators means LCM of 78,19,490 as per the given fractions.

LCM of 78,19,490 is 363090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,151,309

GCF of Fractions 775/78,151/19,309/490 is 1/363090

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

Greatest Common Factor of 775,151,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,151,309 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 775,151,309 . The biggest common factor number is the GCF number.
So the greatest common factor 775,151,309 is 1.

Lets's calculate LCM of 78,19,490

2 78, 19, 490
39, 19, 245

∴ So the LCM of the given numbers is 2 x 39 x 19 x 245 = 363090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363090

Therefore, the GCF of Fractions 775/78,151/19,309/490 is 1/363090

Least Common Multiple of 78,19,490 with GCF Formula

Least Common Multiple of 78,19,490 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 78,19,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,19,490) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(78,19,490) x common factors =1 x 2 = 2

LCM(78,19,490) = ( 78 × 19 × 490 ) / 2

LCM(78,19,490) = 726180 / 2

LCM(78,19,490) = 363090


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 775/78, 151/19, 309/490

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 775/78, 151/19, 309/490?

Answer: GCF of Numerators as per given numbers 775/78, 151/19, 309/490 is

GCF of Numerators i.e. for 775,151,309 is 1

LCM of denominators i.e. for 78,19,490 is 363090.

Thus, GCF of Fractions is 1/363090.Finally, GCF of Fractions for 775/78, 151/19, 309/490 is 1/363090.