Greatest Common Factor of 4208/46, 3942/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4208/46, 3942/440

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 4208/46,3942/440

Given fractions are 4208/46,3942/440

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 4208,3942

Greatest Common Factor of Numerators i.e. GCF of 4208,3942 is 2 .

LCM of Denominators means LCM of 46,440 as per the given fractions.

LCM of 46,440 is 10120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4208,3942

GCF of Fractions 4208/46,3942/440 is 2/10120

2 4208, 3942
2104, 1971

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

Greatest Common Factor of 4208,3942 By Matching Biggest Common Factor Method

Greatest Common Factor of 4208,3942 By Matching Biggest Common Factor Method

Factors of 4208

List of positive integer factors of 4208 that divides 4208 without a remainder.

1,2,4,8,16,263,526,1052,2104,4208

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942

Greatest Common Factor

We found the factors 4208,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,3942 is 2.

Lets's calculate LCM of 46,440

2 46, 440
23, 220

∴ So the LCM of the given numbers is 2 x 23 x 220 = 10120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10120

Therefore, the GCF of Fractions 4208/46,3942/440 is 2/10120

Least Common Multiple of 46,440 with GCF Formula

Least Common Multiple of 46,440 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 46,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,440) = 2

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

GCF(46,440) x common factors =2 x 1 = 2

LCM(46,440) = ( 46 × 440 ) / 2

LCM(46,440) = 20240 / 2

LCM(46,440) = 10120


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 4208/46, 3942/440

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 4208/46, 3942/440?

Answer: GCF of Numerators as per given numbers 4208/46, 3942/440 is

GCF of Numerators i.e. for 4208,3942 is 2

LCM of denominators i.e. for 46,440 is 10120.

Thus, GCF of Fractions is 2/10120.Finally, GCF of Fractions for 4208/46, 3942/440 is 2/10120.