Greatest Common Factor of 443/578, 3527/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 443/578, 3527/708

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 443/578,3527/708

Given fractions are 443/578,3527/708

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 443,3527

Greatest Common Factor of Numerators i.e. GCF of 443,3527 is 1 .

LCM of Denominators means LCM of 578,708 as per the given fractions.

LCM of 578,708 is 204612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 443,3527

GCF of Fractions 443/578,3527/708 is 1/204612

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

Greatest Common Factor of 443,3527 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,3527 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 3527

List of positive integer factors of 3527 that divides 3527 without a remainder.

1,3527

Greatest Common Factor

We found the factors 443,3527 . The biggest common factor number is the GCF number.
So the greatest common factor 443,3527 is 1.

Lets's calculate LCM of 578,708

2 578, 708
289, 354

∴ So the LCM of the given numbers is 2 x 289 x 354 = 204612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204612

Therefore, the GCF of Fractions 443/578,3527/708 is 1/204612

Least Common Multiple of 578,708 with GCF Formula

Least Common Multiple of 578,708 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 578,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,708) = 2

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

GCF(578,708) x common factors =2 x 1 = 2

LCM(578,708) = ( 578 × 708 ) / 2

LCM(578,708) = 409224 / 2

LCM(578,708) = 204612


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 443/578, 3527/708

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 443/578, 3527/708?

Answer: GCF of Numerators as per given numbers 443/578, 3527/708 is

GCF of Numerators i.e. for 443,3527 is 1

LCM of denominators i.e. for 578,708 is 204612.

Thus, GCF of Fractions is 1/204612.Finally, GCF of Fractions for 443/578, 3527/708 is 1/204612.