Greatest Common Factor of 445/28, 283/84, 715/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 445/28, 283/84, 715/756

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 445/28,283/84,715/756

Given fractions are 445/28,283/84,715/756

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 445,283,715

Greatest Common Factor of Numerators i.e. GCF of 445,283,715 is 1 .

LCM of Denominators means LCM of 28,84,756 as per the given fractions.

LCM of 28,84,756 is 756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 445,283,715

GCF of Fractions 445/28,283/84,715/756 is 1/756

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

Greatest Common Factor of 445,283,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 445,283,715 By Matching Biggest Common Factor Method

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 445,283,715 . The biggest common factor number is the GCF number.
So the greatest common factor 445,283,715 is 1.

Lets's calculate LCM of 28,84,756

2 28, 84, 756
2 14, 42, 378
3 7, 21, 189
7 7, 7, 63
1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 9 = 756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/756

Therefore, the GCF of Fractions 445/28,283/84,715/756 is 1/756

Least Common Multiple of 28,84,756 with GCF Formula

Least Common Multiple of 28,84,756 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 28,84,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,84,756) = 28

common factors(in case of two or more numbers have common factors) = 84

GCF(28,84,756) x common factors =28 x 84 = 2352

LCM(28,84,756) = ( 28 × 84 × 756 ) / 2352

LCM(28,84,756) = 1778112 / 2352

LCM(28,84,756) = 756


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 445/28, 283/84, 715/756

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 445/28, 283/84, 715/756?

Answer: GCF of Numerators as per given numbers 445/28, 283/84, 715/756 is

GCF of Numerators i.e. for 445,283,715 is 1

LCM of denominators i.e. for 28,84,756 is 756.

Thus, GCF of Fractions is 1/756.Finally, GCF of Fractions for 445/28, 283/84, 715/756 is 1/756.