Greatest Common Factor of 3760/714, 4062/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3760/714, 4062/489

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 3760/714,4062/489

Given fractions are 3760/714,4062/489

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 3760,4062

Greatest Common Factor of Numerators i.e. GCF of 3760,4062 is 2 .

LCM of Denominators means LCM of 714,489 as per the given fractions.

LCM of 714,489 is 116382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3760,4062

GCF of Fractions 3760/714,4062/489 is 2/116382

2 3760, 4062
1880, 2031

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

Greatest Common Factor of 3760,4062 By Matching Biggest Common Factor Method

Greatest Common Factor of 3760,4062 By Matching Biggest Common Factor Method

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1,2,3,6,677,1354,2031,4062

Greatest Common Factor

We found the factors 3760,4062 . The biggest common factor number is the GCF number.
So the greatest common factor 3760,4062 is 2.

Lets's calculate LCM of 714,489

3 714, 489
238, 163

∴ So the LCM of the given numbers is 3 x 238 x 163 = 116382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116382

Therefore, the GCF of Fractions 3760/714,4062/489 is 2/116382

Least Common Multiple of 714,489 with GCF Formula

Least Common Multiple of 714,489 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 714,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,489) = 3

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

GCF(714,489) x common factors =3 x 1 = 3

LCM(714,489) = ( 714 × 489 ) / 3

LCM(714,489) = 349146 / 3

LCM(714,489) = 116382


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 3760/714, 4062/489

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 3760/714, 4062/489?

Answer: GCF of Numerators as per given numbers 3760/714, 4062/489 is

GCF of Numerators i.e. for 3760,4062 is 2

LCM of denominators i.e. for 714,489 is 116382.

Thus, GCF of Fractions is 2/116382.Finally, GCF of Fractions for 3760/714, 4062/489 is 2/116382.