Greatest Common Factor of 212/13, 196/9070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/13, 196/9070

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 212/13,196/9070

Given fractions are 212/13,196/9070

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 212,196

Greatest Common Factor of Numerators i.e. GCF of 212,196 is 4 .

LCM of Denominators means LCM of 13,9070 as per the given fractions.

LCM of 13,9070 is 117910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,196

GCF of Fractions 212/13,196/9070 is 4/117910

2 212, 196
2 106, 98
53, 49

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 212,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,196 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

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

Greatest Common Factor

We found the factors 212,196 . The biggest common factor number is the GCF number.
So the greatest common factor 212,196 is 4.

Lets's calculate LCM of 13,9070

Given numbers has no common factors except 1. So, there LCM is their product i.e 117910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/117910

Therefore, the GCF of Fractions 212/13,196/9070 is 4/117910

Least Common Multiple of 13,9070 with GCF Formula

Least Common Multiple of 13,9070 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 13,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,9070) = 1

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

GCF(13,9070) x common factors =1 x 1 = 1

LCM(13,9070) = ( 13 × 9070 ) / 1

LCM(13,9070) = 117910 / 1

LCM(13,9070) = 117910


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 212/13, 196/9070

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 212/13, 196/9070?

Answer: GCF of Numerators as per given numbers 212/13, 196/9070 is

GCF of Numerators i.e. for 212,196 is 4

LCM of denominators i.e. for 13,9070 is 117910.

Thus, GCF of Fractions is 4/117910.Finally, GCF of Fractions for 212/13, 196/9070 is 4/117910.