Greatest Common Factor of 814/40, 738/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/40, 738/534

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 814/40,738/534

Given fractions are 814/40,738/534

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 814,738

Greatest Common Factor of Numerators i.e. GCF of 814,738 is 2 .

LCM of Denominators means LCM of 40,534 as per the given fractions.

LCM of 40,534 is 10680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,738

GCF of Fractions 814/40,738/534 is 2/10680

2 814, 738
407, 369

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

Greatest Common Factor of 814,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,738 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 814,738 . The biggest common factor number is the GCF number.
So the greatest common factor 814,738 is 2.

Lets's calculate LCM of 40,534

2 40, 534
20, 267

∴ So the LCM of the given numbers is 2 x 20 x 267 = 10680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10680

Therefore, the GCF of Fractions 814/40,738/534 is 2/10680

Least Common Multiple of 40,534 with GCF Formula

Least Common Multiple of 40,534 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 40,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,534) = 2

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

GCF(40,534) x common factors =2 x 1 = 2

LCM(40,534) = ( 40 × 534 ) / 2

LCM(40,534) = 21360 / 2

LCM(40,534) = 10680


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 814/40, 738/534

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 814/40, 738/534?

Answer: GCF of Numerators as per given numbers 814/40, 738/534 is

GCF of Numerators i.e. for 814,738 is 2

LCM of denominators i.e. for 40,534 is 10680.

Thus, GCF of Fractions is 2/10680.Finally, GCF of Fractions for 814/40, 738/534 is 2/10680.