Greatest Common Factor of 745/282, 926/952, 819/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 745/282, 926/952, 819/630

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 745/282,926/952,819/630

Given fractions are 745/282,926/952,819/630

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 745,926,819

Greatest Common Factor of Numerators i.e. GCF of 745,926,819 is 1 .

LCM of Denominators means LCM of 282,952,630 as per the given fractions.

LCM of 282,952,630 is 2013480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 745,926,819

GCF of Fractions 745/282,926/952,819/630 is 1/2013480

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

Greatest Common Factor of 745,926,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,926,819 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 745,926,819 . The biggest common factor number is the GCF number.
So the greatest common factor 745,926,819 is 1.

Lets's calculate LCM of 282,952,630

2 282, 952, 630
3 141, 476, 315
7 47, 476, 105
47, 68, 15

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 68 x 15 = 2013480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2013480

Therefore, the GCF of Fractions 745/282,926/952,819/630 is 1/2013480

Least Common Multiple of 282,952,630 with GCF Formula

Least Common Multiple of 282,952,630 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 282,952,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,952,630) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(282,952,630) x common factors =2 x 42 = 84

LCM(282,952,630) = ( 282 × 952 × 630 ) / 84

LCM(282,952,630) = 169132320 / 84

LCM(282,952,630) = 2013480


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 745/282, 926/952, 819/630

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 745/282, 926/952, 819/630?

Answer: GCF of Numerators as per given numbers 745/282, 926/952, 819/630 is

GCF of Numerators i.e. for 745,926,819 is 1

LCM of denominators i.e. for 282,952,630 is 2013480.

Thus, GCF of Fractions is 1/2013480.Finally, GCF of Fractions for 745/282, 926/952, 819/630 is 1/2013480.