Greatest Common Factor of 142/271, 814/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 142/271, 814/914

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 142/271,814/914

Given fractions are 142/271,814/914

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 142,814

Greatest Common Factor of Numerators i.e. GCF of 142,814 is 2 .

LCM of Denominators means LCM of 271,914 as per the given fractions.

LCM of 271,914 is 247694 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 142,814

GCF of Fractions 142/271,814/914 is 2/247694

2 142, 814
71, 407

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

Greatest Common Factor of 142,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,814 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 142,814 . The biggest common factor number is the GCF number.
So the greatest common factor 142,814 is 2.

Lets's calculate LCM of 271,914

Given numbers has no common factors except 1. So, there LCM is their product i.e 247694

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247694

Therefore, the GCF of Fractions 142/271,814/914 is 2/247694

Least Common Multiple of 271,914 with GCF Formula

Least Common Multiple of 271,914 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 271,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,914) = 1

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

GCF(271,914) x common factors =1 x 1 = 1

LCM(271,914) = ( 271 × 914 ) / 1

LCM(271,914) = 247694 / 1

LCM(271,914) = 247694


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 142/271, 814/914

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 142/271, 814/914?

Answer: GCF of Numerators as per given numbers 142/271, 814/914 is

GCF of Numerators i.e. for 142,814 is 2

LCM of denominators i.e. for 271,914 is 247694.

Thus, GCF of Fractions is 2/247694.Finally, GCF of Fractions for 142/271, 814/914 is 2/247694.