Greatest Common Factor of 196/64, 852/7380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/64, 852/7380

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 196/64,852/7380

Given fractions are 196/64,852/7380

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 196,852

Greatest Common Factor of Numerators i.e. GCF of 196,852 is 4 .

LCM of Denominators means LCM of 64,7380 as per the given fractions.

LCM of 64,7380 is 118080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,852

GCF of Fractions 196/64,852/7380 is 4/118080

2 196, 852
2 98, 426
49, 213

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

Greatest Common Factor of 196,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,852 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 196,852 . The biggest common factor number is the GCF number.
So the greatest common factor 196,852 is 4.

Lets's calculate LCM of 64,7380

2 64, 7380
2 32, 3690
16, 1845

∴ So the LCM of the given numbers is 2 x 2 x 16 x 1845 = 118080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/118080

Therefore, the GCF of Fractions 196/64,852/7380 is 4/118080

Least Common Multiple of 64,7380 with GCF Formula

Least Common Multiple of 64,7380 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 64,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,7380) = 4

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

GCF(64,7380) x common factors =4 x 1 = 4

LCM(64,7380) = ( 64 × 7380 ) / 4

LCM(64,7380) = 472320 / 4

LCM(64,7380) = 118080


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 196/64, 852/7380

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 196/64, 852/7380?

Answer: GCF of Numerators as per given numbers 196/64, 852/7380 is

GCF of Numerators i.e. for 196,852 is 4

LCM of denominators i.e. for 64,7380 is 118080.

Thus, GCF of Fractions is 4/118080.Finally, GCF of Fractions for 196/64, 852/7380 is 4/118080.