Greatest Common Factor of 534/585, 814/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 534/585, 814/503

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 534/585,814/503

Given fractions are 534/585,814/503

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 534,814

Greatest Common Factor of Numerators i.e. GCF of 534,814 is 2 .

LCM of Denominators means LCM of 585,503 as per the given fractions.

LCM of 585,503 is 294255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 534,814

GCF of Fractions 534/585,814/503 is 2/294255

2 534, 814
267, 407

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

Greatest Common Factor of 534,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,814 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 814

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

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

Greatest Common Factor

We found the factors 534,814 . The biggest common factor number is the GCF number.
So the greatest common factor 534,814 is 2.

Lets's calculate LCM of 585,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 294255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294255

Therefore, the GCF of Fractions 534/585,814/503 is 2/294255

Least Common Multiple of 585,503 with GCF Formula

Least Common Multiple of 585,503 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 585,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,503) = 1

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

GCF(585,503) x common factors =1 x 1 = 1

LCM(585,503) = ( 585 × 503 ) / 1

LCM(585,503) = 294255 / 1

LCM(585,503) = 294255


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 534/585, 814/503

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 534/585, 814/503?

Answer: GCF of Numerators as per given numbers 534/585, 814/503 is

GCF of Numerators i.e. for 534,814 is 2

LCM of denominators i.e. for 585,503 is 294255.

Thus, GCF of Fractions is 2/294255.Finally, GCF of Fractions for 534/585, 814/503 is 2/294255.