Greatest Common Factor of 3541/429, 4112/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3541/429, 4112/900

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 3541/429,4112/900

Given fractions are 3541/429,4112/900

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 3541,4112

Greatest Common Factor of Numerators i.e. GCF of 3541,4112 is 1 .

LCM of Denominators means LCM of 429,900 as per the given fractions.

LCM of 429,900 is 128700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3541,4112

GCF of Fractions 3541/429,4112/900 is 1/128700

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

Greatest Common Factor of 3541,4112 By Matching Biggest Common Factor Method

Greatest Common Factor of 3541,4112 By Matching Biggest Common Factor Method

Factors of 3541

List of positive integer factors of 3541 that divides 3541 without a remainder.

1,3541

Factors of 4112

List of positive integer factors of 4112 that divides 4112 without a remainder.

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors 3541,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 3541,4112 is 1.


Lets's calculate LCM of 429,900

3 429, 900
143, 300

∴ So the LCM of the given numbers is 3 x 143 x 300 = 128700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128700

Therefore, the GCF of Fractions 3541/429,4112/900 is 1/128700

Least Common Multiple of 429,900 with GCF Formula

Least Common Multiple of 429,900 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 429,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,900) = 3

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

GCF(429,900) x common factors =3 x 1 = 3

LCM(429,900) = ( 429 × 900 ) / 3

LCM(429,900) = 386100 / 3

LCM(429,900) = 128700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3541/429, 4112/900

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 3541/429, 4112/900?

Answer: GCF of Numerators as per given numbers 3541/429, 4112/900 is

GCF of Numerators i.e. for 3541,4112 is 1

LCM of denominators i.e. for 429,900 is 128700.

Thus, GCF of Fractions is 1/128700.Finally, GCF of Fractions for 3541/429, 4112/900 is 1/128700.