Greatest Common Factor of 4727/222, 2142/1170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4727/222, 2142/1170

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 4727/222,2142/1170

Given fractions are 4727/222,2142/1170

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 4727,2142

Greatest Common Factor of Numerators i.e. GCF of 4727,2142 is 1 .

LCM of Denominators means LCM of 222,1170 as per the given fractions.

LCM of 222,1170 is 43290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4727,2142

GCF of Fractions 4727/222,2142/1170 is 1/43290

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4727,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 4727,2142 By Matching Biggest Common Factor Method

Factors of 4727

List of positive integer factors of 4727 that divides 4727 without a remainder.

1,29,163,4727

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Greatest Common Factor

We found the factors 4727,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 4727,2142 is 1.

Lets's calculate LCM of 222,1170

2 222, 1170
3 111, 585
37, 195

∴ So the LCM of the given numbers is 2 x 3 x 37 x 195 = 43290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43290

Therefore, the GCF of Fractions 4727/222,2142/1170 is 1/43290

Least Common Multiple of 222,1170 with GCF Formula

Least Common Multiple of 222,1170 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 222,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,1170) = 6

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

GCF(222,1170) x common factors =6 x 1 = 6

LCM(222,1170) = ( 222 × 1170 ) / 6

LCM(222,1170) = 259740 / 6

LCM(222,1170) = 43290


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 4727/222, 2142/1170

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 4727/222, 2142/1170?

Answer: GCF of Numerators as per given numbers 4727/222, 2142/1170 is

GCF of Numerators i.e. for 4727,2142 is 1

LCM of denominators i.e. for 222,1170 is 43290.

Thus, GCF of Fractions is 1/43290.Finally, GCF of Fractions for 4727/222, 2142/1170 is 1/43290.