Greatest Common Factor of 71/377, 41/614, 782/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/377, 41/614, 782/476

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 71/377,41/614,782/476

Given fractions are 71/377,41/614,782/476

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 71,41,782

Greatest Common Factor of Numerators i.e. GCF of 71,41,782 is 1 .

LCM of Denominators means LCM of 377,614,476 as per the given fractions.

LCM of 377,614,476 is 55091764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,41,782

GCF of Fractions 71/377,41/614,782/476 is 1/55091764

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

Greatest Common Factor of 71,41,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,41,782 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 71,41,782 . The biggest common factor number is the GCF number.
So the greatest common factor 71,41,782 is 1.

Lets's calculate LCM of 377,614,476

2 377, 614, 476
377, 307, 238

∴ So the LCM of the given numbers is 2 x 377 x 307 x 238 = 55091764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55091764

Therefore, the GCF of Fractions 71/377,41/614,782/476 is 1/55091764

Least Common Multiple of 377,614,476 with GCF Formula

Least Common Multiple of 377,614,476 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 377,614,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,614,476) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(377,614,476) x common factors =1 x 2 = 2

LCM(377,614,476) = ( 377 × 614 × 476 ) / 2

LCM(377,614,476) = 110183528 / 2

LCM(377,614,476) = 55091764


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 71/377, 41/614, 782/476

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 71/377, 41/614, 782/476?

Answer: GCF of Numerators as per given numbers 71/377, 41/614, 782/476 is

GCF of Numerators i.e. for 71,41,782 is 1

LCM of denominators i.e. for 377,614,476 is 55091764.

Thus, GCF of Fractions is 1/55091764.Finally, GCF of Fractions for 71/377, 41/614, 782/476 is 1/55091764.