Greatest Common Factor of 47/798, 676/636, 562/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/798, 676/636, 562/741

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 47/798,676/636,562/741

Given fractions are 47/798,676/636,562/741

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 47,676,562

Greatest Common Factor of Numerators i.e. GCF of 47,676,562 is 1 .

LCM of Denominators means LCM of 798,636,741 as per the given fractions.

LCM of 798,636,741 is 1099644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,676,562

GCF of Fractions 47/798,676/636,562/741 is 1/1099644

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

Greatest Common Factor of 47,676,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,676,562 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 47,676,562 . The biggest common factor number is the GCF number.
So the greatest common factor 47,676,562 is 1.

Lets's calculate LCM of 798,636,741

2 798, 636, 741
3 399, 318, 741
19 133, 106, 247
7, 106, 13

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 106 x 13 = 1099644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1099644

Therefore, the GCF of Fractions 47/798,676/636,562/741 is 1/1099644

Least Common Multiple of 798,636,741 with GCF Formula

Least Common Multiple of 798,636,741 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 798,636,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,636,741) = 3

common factors(in case of two or more numbers have common factors) = 114

GCF(798,636,741) x common factors =3 x 114 = 342

LCM(798,636,741) = ( 798 × 636 × 741 ) / 342

LCM(798,636,741) = 376078248 / 342

LCM(798,636,741) = 1099644


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 47/798, 676/636, 562/741

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 47/798, 676/636, 562/741?

Answer: GCF of Numerators as per given numbers 47/798, 676/636, 562/741 is

GCF of Numerators i.e. for 47,676,562 is 1

LCM of denominators i.e. for 798,636,741 is 1099644.

Thus, GCF of Fractions is 1/1099644.Finally, GCF of Fractions for 47/798, 676/636, 562/741 is 1/1099644.