Greatest Common Factor of 510/78, 738/37, 999/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/78, 738/37, 999/97

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 510/78,738/37,999/97

Given fractions are 510/78,738/37,999/97

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 510,738,999

Greatest Common Factor of Numerators i.e. GCF of 510,738,999 is 3 .

LCM of Denominators means LCM of 78,37,97 as per the given fractions.

LCM of 78,37,97 is 279942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,738,999

GCF of Fractions 510/78,738/37,999/97 is 3/279942

3 510, 738, 999
170, 246, 333

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 510,738,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,738,999 By Matching Biggest Common Factor Method

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

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 510,738,999 . The biggest common factor number is the GCF number.
So the greatest common factor 510,738,999 is 3.

Lets's calculate LCM of 78,37,97

Given numbers has no common factors except 1. So, there LCM is their product i.e 279942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/279942

Therefore, the GCF of Fractions 510/78,738/37,999/97 is 3/279942

Least Common Multiple of 78,37,97 with GCF Formula

Least Common Multiple of 78,37,97 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 78,37,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,37,97) = 1

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

GCF(78,37,97) x common factors =1 x 1 = 1

LCM(78,37,97) = ( 78 × 37 × 97 ) / 1

LCM(78,37,97) = 279942 / 1

LCM(78,37,97) = 279942


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 510/78, 738/37, 999/97

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 510/78, 738/37, 999/97?

Answer: GCF of Numerators as per given numbers 510/78, 738/37, 999/97 is

GCF of Numerators i.e. for 510,738,999 is 3

LCM of denominators i.e. for 78,37,97 is 279942.

Thus, GCF of Fractions is 3/279942.Finally, GCF of Fractions for 510/78, 738/37, 999/97 is 3/279942.