Greatest Common Factor of 196/4824, 970/2018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/4824, 970/2018

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 196/4824,970/2018

Given fractions are 196/4824,970/2018

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 196,970

Greatest Common Factor of Numerators i.e. GCF of 196,970 is 2 .

LCM of Denominators means LCM of 4824,2018 as per the given fractions.

LCM of 4824,2018 is 4867416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,970

GCF of Fractions 196/4824,970/2018 is 2/4867416

2 196, 970
98, 485

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

Greatest Common Factor of 196,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,970 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 196,970 . The biggest common factor number is the GCF number.
So the greatest common factor 196,970 is 2.

Lets's calculate LCM of 4824,2018

2 4824, 2018
2412, 1009

∴ So the LCM of the given numbers is 2 x 2412 x 1009 = 4867416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4867416

Therefore, the GCF of Fractions 196/4824,970/2018 is 2/4867416

Least Common Multiple of 4824,2018 with GCF Formula

Least Common Multiple of 4824,2018 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 4824,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4824,2018) = 2

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

GCF(4824,2018) x common factors =2 x 1 = 2

LCM(4824,2018) = ( 4824 × 2018 ) / 2

LCM(4824,2018) = 9734832 / 2

LCM(4824,2018) = 4867416


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 196/4824, 970/2018

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 196/4824, 970/2018?

Answer: GCF of Numerators as per given numbers 196/4824, 970/2018 is

GCF of Numerators i.e. for 196,970 is 2

LCM of denominators i.e. for 4824,2018 is 4867416.

Thus, GCF of Fractions is 2/4867416.Finally, GCF of Fractions for 196/4824, 970/2018 is 2/4867416.