Greatest Common Factor of 42/222, 1360/4128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/222, 1360/4128

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 42/222,1360/4128

Given fractions are 42/222,1360/4128

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 42,1360

Greatest Common Factor of Numerators i.e. GCF of 42,1360 is 2 .

LCM of Denominators means LCM of 222,4128 as per the given fractions.

LCM of 222,4128 is 152736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,1360

GCF of Fractions 42/222,1360/4128 is 2/152736

2 42, 1360
21, 680

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

Greatest Common Factor of 42,1360 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,1360 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Greatest Common Factor

We found the factors 42,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1360 is 2.

Lets's calculate LCM of 222,4128

2 222, 4128
3 111, 2064
37, 688

∴ So the LCM of the given numbers is 2 x 3 x 37 x 688 = 152736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152736

Therefore, the GCF of Fractions 42/222,1360/4128 is 2/152736

Least Common Multiple of 222,4128 with GCF Formula

Least Common Multiple of 222,4128 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 222,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,4128) = 6

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

GCF(222,4128) x common factors =6 x 1 = 6

LCM(222,4128) = ( 222 × 4128 ) / 6

LCM(222,4128) = 916416 / 6

LCM(222,4128) = 152736


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 42/222, 1360/4128

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 42/222, 1360/4128?

Answer: GCF of Numerators as per given numbers 42/222, 1360/4128 is

GCF of Numerators i.e. for 42,1360 is 2

LCM of denominators i.e. for 222,4128 is 152736.

Thus, GCF of Fractions is 2/152736.Finally, GCF of Fractions for 42/222, 1360/4128 is 2/152736.