Greatest Common Factor of 84/998, 485/223, 146/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/998, 485/223, 146/876

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 84/998,485/223,146/876

Given fractions are 84/998,485/223,146/876

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 84,485,146

Greatest Common Factor of Numerators i.e. GCF of 84,485,146 is 1 .

LCM of Denominators means LCM of 998,223,876 as per the given fractions.

LCM of 998,223,876 is 97478652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,485,146

GCF of Fractions 84/998,485/223,146/876 is 1/97478652

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

Greatest Common Factor of 84,485,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,485,146 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 84,485,146 . The biggest common factor number is the GCF number.
So the greatest common factor 84,485,146 is 1.

Lets's calculate LCM of 998,223,876

2 998, 223, 876
499, 223, 438

∴ So the LCM of the given numbers is 2 x 499 x 223 x 438 = 97478652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97478652

Therefore, the GCF of Fractions 84/998,485/223,146/876 is 1/97478652

Least Common Multiple of 998,223,876 with GCF Formula

Least Common Multiple of 998,223,876 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 998,223,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,223,876) = 1

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

GCF(998,223,876) x common factors =1 x 2 = 2

LCM(998,223,876) = ( 998 × 223 × 876 ) / 2

LCM(998,223,876) = 194957304 / 2

LCM(998,223,876) = 97478652


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 84/998, 485/223, 146/876

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 84/998, 485/223, 146/876?

Answer: GCF of Numerators as per given numbers 84/998, 485/223, 146/876 is

GCF of Numerators i.e. for 84,485,146 is 1

LCM of denominators i.e. for 998,223,876 is 97478652.

Thus, GCF of Fractions is 1/97478652.Finally, GCF of Fractions for 84/998, 485/223, 146/876 is 1/97478652.