Greatest Common Factor of 2042/668, 4528/8960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2042/668, 4528/8960

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 2042/668,4528/8960

Given fractions are 2042/668,4528/8960

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 2042,4528

Greatest Common Factor of Numerators i.e. GCF of 2042,4528 is 2 .

LCM of Denominators means LCM of 668,8960 as per the given fractions.

LCM of 668,8960 is 1496320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2042,4528

GCF of Fractions 2042/668,4528/8960 is 2/1496320

2 2042, 4528
1021, 2264

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

Greatest Common Factor of 2042,4528 By Matching Biggest Common Factor Method

Greatest Common Factor of 2042,4528 By Matching Biggest Common Factor Method

Factors of 2042

List of positive integer factors of 2042 that divides 2042 without a remainder.

1,2,1021,2042

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 2042,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 2042,4528 is 2.

Lets's calculate LCM of 668,8960

2 668, 8960
2 334, 4480
167, 2240

∴ So the LCM of the given numbers is 2 x 2 x 167 x 2240 = 1496320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1496320

Therefore, the GCF of Fractions 2042/668,4528/8960 is 2/1496320

Least Common Multiple of 668,8960 with GCF Formula

Least Common Multiple of 668,8960 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 668,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,8960) = 4

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

GCF(668,8960) x common factors =4 x 1 = 4

LCM(668,8960) = ( 668 × 8960 ) / 4

LCM(668,8960) = 5985280 / 4

LCM(668,8960) = 1496320


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 2042/668, 4528/8960

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 2042/668, 4528/8960?

Answer: GCF of Numerators as per given numbers 2042/668, 4528/8960 is

GCF of Numerators i.e. for 2042,4528 is 2

LCM of denominators i.e. for 668,8960 is 1496320.

Thus, GCF of Fractions is 2/1496320.Finally, GCF of Fractions for 2042/668, 4528/8960 is 2/1496320.