Greatest Common Factor of 4211/416, 2142/8518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4211/416, 2142/8518

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 4211/416,2142/8518

Given fractions are 4211/416,2142/8518

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 4211,2142

Greatest Common Factor of Numerators i.e. GCF of 4211,2142 is 1 .

LCM of Denominators means LCM of 416,8518 as per the given fractions.

LCM of 416,8518 is 1771744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4211,2142

GCF of Fractions 4211/416,2142/8518 is 1/1771744

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

Greatest Common Factor of 4211,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 4211,2142 By Matching Biggest Common Factor Method

Factors of 4211

List of positive integer factors of 4211 that divides 4211 without a remainder.

1,4211

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 4211,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 4211,2142 is 1.

Lets's calculate LCM of 416,8518

2 416, 8518
208, 4259

∴ So the LCM of the given numbers is 2 x 208 x 4259 = 1771744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1771744

Therefore, the GCF of Fractions 4211/416,2142/8518 is 1/1771744

Least Common Multiple of 416,8518 with GCF Formula

Least Common Multiple of 416,8518 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 416,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,8518) = 2

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

GCF(416,8518) x common factors =2 x 1 = 2

LCM(416,8518) = ( 416 × 8518 ) / 2

LCM(416,8518) = 3543488 / 2

LCM(416,8518) = 1771744


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 4211/416, 2142/8518

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 4211/416, 2142/8518?

Answer: GCF of Numerators as per given numbers 4211/416, 2142/8518 is

GCF of Numerators i.e. for 4211,2142 is 1

LCM of denominators i.e. for 416,8518 is 1771744.

Thus, GCF of Fractions is 1/1771744.Finally, GCF of Fractions for 4211/416, 2142/8518 is 1/1771744.