How to Find GCF of 572/570, 364/473?

GCF of 572/570, 364/473

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 572/570, 364/473 i.e 52/269610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/570, 364/473.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 572/570,364/473?

Given fractions are 572/570,364/473

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 572/570,364/473, numerators are 572,364

Denominators are 570,473

The GCF of 572,364 is 52 .

LCM of 570,473 is 269610.

The greatest common factor of 572/570,364/473 = [GCF of 572,364]/[LCM of 570,473]= 52/269610

Therefore, the GCF of 572/570,364/473 is 52/269610.

Greatest Common Factor of 572,364

To find the highest common factor of 572,364, we have to find the factors of both numbers and list the highest common factor.

The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

The HCF of 572,364 is 52.

Lets's calculate GCF of 572,364

Greatest Common Factor (GCF) of 572,364 By Common Division

2	572, 364
2	286, 182
13	143, 91
	11, 7

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 572,364 By Matching Biggest Common Factor Method

Now, list down the factors of 572

1,2,4,11,13,22,26,44,52,143,286,572

Now, list down the factors of 364

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 572,364 . The biggest common factor number is the GCF number.
So the greatest common factor 572,364 is 52.

Lets's calculate LCM of 570,473

Lowest Common Multiple of 570,473 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 269610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/269610

Therefore, the GCF of Fractions 572/570,364/473 is 52/269610

Least Common Multiple of 570,473 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 570,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,473) = 1

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

GCF(570,473) x common factors =1 x 1 = 1

LCM(570,473) = ( 570 × 473 ) / 1

LCM(570,473) = 269610 / 1

LCM(570,473) = 269610

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 572/570, 364/473

1. What is the HCF of 572,364?

The HCF of 572,364 is 52

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 572/570, 364/473?

Answer: GCF of Numerators as per given numbers 572/570, 364/473 is

GCF of Numerators i.e. for 572,364 is 52

LCM of denominators i.e. for 570,473 is 269610.

Thus, GCF of Fractions is 52/269610.Finally, GCF of Fractions for 572/570, 364/473 is 52/269610.