Greatest Common Factor of 573/19, 957/77, 495/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/19, 957/77, 495/56

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 573/19,957/77,495/56

Given fractions are 573/19,957/77,495/56

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 573,957,495

Greatest Common Factor of Numerators i.e. GCF of 573,957,495 is 3 .

LCM of Denominators means LCM of 19,77,56 as per the given fractions.

LCM of 19,77,56 is 11704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,957,495

GCF of Fractions 573/19,957/77,495/56 is 3/11704

3 573, 957, 495
191, 319, 165

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 573,957,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,957,495 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 573,957,495 . The biggest common factor number is the GCF number.
So the greatest common factor 573,957,495 is 3.

Lets's calculate LCM of 19,77,56

7 19, 77, 56
19, 11, 8

∴ So the LCM of the given numbers is 7 x 19 x 11 x 8 = 11704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11704

Therefore, the GCF of Fractions 573/19,957/77,495/56 is 3/11704

Least Common Multiple of 19,77,56 with GCF Formula

Least Common Multiple of 19,77,56 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 19,77,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,77,56) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(19,77,56) x common factors =1 x 7 = 7

LCM(19,77,56) = ( 19 × 77 × 56 ) / 7

LCM(19,77,56) = 81928 / 7

LCM(19,77,56) = 11704


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 573/19, 957/77, 495/56

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 573/19, 957/77, 495/56?

Answer: GCF of Numerators as per given numbers 573/19, 957/77, 495/56 is

GCF of Numerators i.e. for 573,957,495 is 3

LCM of denominators i.e. for 19,77,56 is 11704.

Thus, GCF of Fractions is 3/11704.Finally, GCF of Fractions for 573/19, 957/77, 495/56 is 3/11704.