Greatest Common Factor of 70/622, 998/512, 478/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/622, 998/512, 478/843

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 70/622,998/512,478/843

Given fractions are 70/622,998/512,478/843

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 70,998,478

Greatest Common Factor of Numerators i.e. GCF of 70,998,478 is 2 .

LCM of Denominators means LCM of 622,512,843 as per the given fractions.

LCM of 622,512,843 is 134232576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,998,478

GCF of Fractions 70/622,998/512,478/843 is 2/134232576

2 70, 998, 478
35, 499, 239

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

Greatest Common Factor of 70,998,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,998,478 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 998

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

1,2,499,998

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 70,998,478 . The biggest common factor number is the GCF number.
So the greatest common factor 70,998,478 is 2.

Lets's calculate LCM of 622,512,843

2 622, 512, 843
311, 256, 843

∴ So the LCM of the given numbers is 2 x 311 x 256 x 843 = 134232576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134232576

Therefore, the GCF of Fractions 70/622,998/512,478/843 is 2/134232576

Least Common Multiple of 622,512,843 with GCF Formula

Least Common Multiple of 622,512,843 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 622,512,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,512,843) = 1

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

GCF(622,512,843) x common factors =1 x 2 = 2

LCM(622,512,843) = ( 622 × 512 × 843 ) / 2

LCM(622,512,843) = 268465152 / 2

LCM(622,512,843) = 134232576


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 70/622, 998/512, 478/843

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 70/622, 998/512, 478/843?

Answer: GCF of Numerators as per given numbers 70/622, 998/512, 478/843 is

GCF of Numerators i.e. for 70,998,478 is 2

LCM of denominators i.e. for 622,512,843 is 134232576.

Thus, GCF of Fractions is 2/134232576.Finally, GCF of Fractions for 70/622, 998/512, 478/843 is 2/134232576.