Greatest Common Factor of 710/505, 998/978, 420/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/505, 998/978, 420/878

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 710/505,998/978,420/878

Given fractions are 710/505,998/978,420/878

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 710,998,420

Greatest Common Factor of Numerators i.e. GCF of 710,998,420 is 2 .

LCM of Denominators means LCM of 505,978,878 as per the given fractions.

LCM of 505,978,878 is 216817710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,998,420

GCF of Fractions 710/505,998/978,420/878 is 2/216817710

2 710, 998, 420
355, 499, 210

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

Greatest Common Factor of 710,998,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,998,420 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 710,998,420 . The biggest common factor number is the GCF number.
So the greatest common factor 710,998,420 is 2.

Lets's calculate LCM of 505,978,878

2 505, 978, 878
505, 489, 439

∴ So the LCM of the given numbers is 2 x 505 x 489 x 439 = 216817710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216817710

Therefore, the GCF of Fractions 710/505,998/978,420/878 is 2/216817710

Least Common Multiple of 505,978,878 with GCF Formula

Least Common Multiple of 505,978,878 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 505,978,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,978,878) = 1

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

GCF(505,978,878) x common factors =1 x 2 = 2

LCM(505,978,878) = ( 505 × 978 × 878 ) / 2

LCM(505,978,878) = 433635420 / 2

LCM(505,978,878) = 216817710


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 710/505, 998/978, 420/878

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 710/505, 998/978, 420/878?

Answer: GCF of Numerators as per given numbers 710/505, 998/978, 420/878 is

GCF of Numerators i.e. for 710,998,420 is 2

LCM of denominators i.e. for 505,978,878 is 216817710.

Thus, GCF of Fractions is 2/216817710.Finally, GCF of Fractions for 710/505, 998/978, 420/878 is 2/216817710.