Greatest Common Factor of 562/141, 4270/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/141, 4270/381

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 562/141,4270/381

Given fractions are 562/141,4270/381

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 562,4270

Greatest Common Factor of Numerators i.e. GCF of 562,4270 is 2 .

LCM of Denominators means LCM of 141,381 as per the given fractions.

LCM of 141,381 is 17907 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,4270

GCF of Fractions 562/141,4270/381 is 2/17907

2 562, 4270
281, 2135

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

Greatest Common Factor of 562,4270 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,4270 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270

Greatest Common Factor

We found the factors 562,4270 . The biggest common factor number is the GCF number.
So the greatest common factor 562,4270 is 2.

Lets's calculate LCM of 141,381

3 141, 381
47, 127

∴ So the LCM of the given numbers is 3 x 47 x 127 = 17907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17907

Therefore, the GCF of Fractions 562/141,4270/381 is 2/17907

Least Common Multiple of 141,381 with GCF Formula

Least Common Multiple of 141,381 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 141,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,381) = 3

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

GCF(141,381) x common factors =3 x 1 = 3

LCM(141,381) = ( 141 × 381 ) / 3

LCM(141,381) = 53721 / 3

LCM(141,381) = 17907


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 562/141, 4270/381

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 562/141, 4270/381?

Answer: GCF of Numerators as per given numbers 562/141, 4270/381 is

GCF of Numerators i.e. for 562,4270 is 2

LCM of denominators i.e. for 141,381 is 17907.

Thus, GCF of Fractions is 2/17907.Finally, GCF of Fractions for 562/141, 4270/381 is 2/17907.