Greatest Common Factor of 464/68, 574/2192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/68, 574/2192

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 464/68,574/2192

Given fractions are 464/68,574/2192

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 464,574

Greatest Common Factor of Numerators i.e. GCF of 464,574 is 2 .

LCM of Denominators means LCM of 68,2192 as per the given fractions.

LCM of 68,2192 is 37264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,574

GCF of Fractions 464/68,574/2192 is 2/37264

2 464, 574
232, 287

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

Greatest Common Factor of 464,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,574 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 464,574 . The biggest common factor number is the GCF number.
So the greatest common factor 464,574 is 2.

Lets's calculate LCM of 68,2192

2 68, 2192
2 34, 1096
17, 548

∴ So the LCM of the given numbers is 2 x 2 x 17 x 548 = 37264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37264

Therefore, the GCF of Fractions 464/68,574/2192 is 2/37264

Least Common Multiple of 68,2192 with GCF Formula

Least Common Multiple of 68,2192 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 68,2192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,2192) = 4

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

GCF(68,2192) x common factors =4 x 1 = 4

LCM(68,2192) = ( 68 × 2192 ) / 4

LCM(68,2192) = 149056 / 4

LCM(68,2192) = 37264


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 464/68, 574/2192

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 464/68, 574/2192?

Answer: GCF of Numerators as per given numbers 464/68, 574/2192 is

GCF of Numerators i.e. for 464,574 is 2

LCM of denominators i.e. for 68,2192 is 37264.

Thus, GCF of Fractions is 2/37264.Finally, GCF of Fractions for 464/68, 574/2192 is 2/37264.