Greatest Common Factor of 738/581, 804/646, 532/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/581, 804/646, 532/447

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 738/581,804/646,532/447

Given fractions are 738/581,804/646,532/447

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 738,804,532

Greatest Common Factor of Numerators i.e. GCF of 738,804,532 is 2 .

LCM of Denominators means LCM of 581,646,447 as per the given fractions.

LCM of 581,646,447 is 167770722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,804,532

GCF of Fractions 738/581,804/646,532/447 is 2/167770722

2 738, 804, 532
369, 402, 266

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

Greatest Common Factor of 738,804,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,804,532 By Matching Biggest Common Factor Method

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

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 738,804,532 . The biggest common factor number is the GCF number.
So the greatest common factor 738,804,532 is 2.

Lets's calculate LCM of 581,646,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 167770722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/167770722

Therefore, the GCF of Fractions 738/581,804/646,532/447 is 2/167770722

Least Common Multiple of 581,646,447 with GCF Formula

Least Common Multiple of 581,646,447 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 581,646,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,646,447) = 1

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

GCF(581,646,447) x common factors =1 x 1 = 1

LCM(581,646,447) = ( 581 × 646 × 447 ) / 1

LCM(581,646,447) = 167770722 / 1

LCM(581,646,447) = 167770722


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 738/581, 804/646, 532/447

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 738/581, 804/646, 532/447?

Answer: GCF of Numerators as per given numbers 738/581, 804/646, 532/447 is

GCF of Numerators i.e. for 738,804,532 is 2

LCM of denominators i.e. for 581,646,447 is 167770722.

Thus, GCF of Fractions is 2/167770722.Finally, GCF of Fractions for 738/581, 804/646, 532/447 is 2/167770722.