Greatest Common Factor of 4484/925, 1358/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4484/925, 1358/512

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 4484/925,1358/512

Given fractions are 4484/925,1358/512

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 4484,1358

Greatest Common Factor of Numerators i.e. GCF of 4484,1358 is 2 .

LCM of Denominators means LCM of 925,512 as per the given fractions.

LCM of 925,512 is 473600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4484,1358

GCF of Fractions 4484/925,1358/512 is 2/473600

2 4484, 1358
2242, 679

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

Greatest Common Factor of 4484,1358 By Matching Biggest Common Factor Method

Greatest Common Factor of 4484,1358 By Matching Biggest Common Factor Method

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Factors of 1358

List of positive integer factors of 1358 that divides 1358 without a remainder.

1,2,7,14,97,194,679,1358

Greatest Common Factor

We found the factors 4484,1358 . The biggest common factor number is the GCF number.
So the greatest common factor 4484,1358 is 2.

Lets's calculate LCM of 925,512

Given numbers has no common factors except 1. So, there LCM is their product i.e 473600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473600

Therefore, the GCF of Fractions 4484/925,1358/512 is 2/473600

Least Common Multiple of 925,512 with GCF Formula

Least Common Multiple of 925,512 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 925,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,512) = 1

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

GCF(925,512) x common factors =1 x 1 = 1

LCM(925,512) = ( 925 × 512 ) / 1

LCM(925,512) = 473600 / 1

LCM(925,512) = 473600


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 4484/925, 1358/512

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 4484/925, 1358/512?

Answer: GCF of Numerators as per given numbers 4484/925, 1358/512 is

GCF of Numerators i.e. for 4484,1358 is 2

LCM of denominators i.e. for 925,512 is 473600.

Thus, GCF of Fractions is 2/473600.Finally, GCF of Fractions for 4484/925, 1358/512 is 2/473600.