How to Find GCF of 567/573, 180/749?

GCF of 567/573, 180/749

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 567/573, 180/749 i.e 9/429177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/573, 180/749.

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 567/573,180/749?

Given fractions are 567/573,180/749

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 567/573,180/749, numerators are 567,180

Denominators are 573,749

The GCF of 567,180 is 9 .

LCM of 573,749 is 429177.

The greatest common factor of 567/573,180/749 = [GCF of 567,180]/[LCM of 573,749]= 9/429177

Therefore, the GCF of 567/573,180/749 is 9/429177.

Greatest Common Factor of 567,180

To find the highest common factor of 567,180, we have to find the factors of both numbers and list the highest common factor.

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The HCF of 567,180 is 9.

Lets's calculate GCF of 567,180

Greatest Common Factor (GCF) of 567,180 By Common Division

3	567, 180
3	189, 60
	63, 20

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 567,180 By Matching Biggest Common Factor Method

Now, list down the factors of 567

1,3,7,9,21,27,63,81,189,567

Now, list down the factors of 180

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 567,180 . The biggest common factor number is the GCF number.
So the greatest common factor 567,180 is 9.

Lets's calculate LCM of 573,749

Lowest Common Multiple of 573,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/429177

Therefore, the GCF of Fractions 567/573,180/749 is 9/429177

Least Common Multiple of 573,749 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 573,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,749) = 1

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

GCF(573,749) x common factors =1 x 1 = 1

LCM(573,749) = ( 573 × 749 ) / 1

LCM(573,749) = 429177 / 1

LCM(573,749) = 429177

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FAQs on GCF of Fractions of 567/573, 180/749

1. What is the HCF of 567,180?

The HCF of 567,180 is 9

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 567/573, 180/749?

Answer: GCF of Numerators as per given numbers 567/573, 180/749 is

GCF of Numerators i.e. for 567,180 is 9

LCM of denominators i.e. for 573,749 is 429177.

Thus, GCF of Fractions is 9/429177.Finally, GCF of Fractions for 567/573, 180/749 is 9/429177.