How to Find GCF of 570/16, 738/2915?

GCF of 570/16, 738/2915

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 570/16, 738/2915 i.e 6/46640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 570/16, 738/2915.

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 570/16,738/2915?

Given fractions are 570/16,738/2915

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 570/16,738/2915, numerators are 570,738

Denominators are 16,2915

The GCF of 570,738 is 6 .

LCM of 16,2915 is 46640.

The greatest common factor of 570/16,738/2915 = [GCF of 570,738]/[LCM of 16,2915]= 6/46640

Therefore, the GCF of 570/16,738/2915 is 6/46640.

Greatest Common Factor of 570,738

To find the highest common factor of 570,738, we have to find the factors of both numbers and list the highest common factor.

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

The HCF of 570,738 is 6.

Lets's calculate GCF of 570,738

Greatest Common Factor (GCF) of 570,738 By Common Division

2	570, 738
3	285, 369
	95, 123

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 570,738 By Matching Biggest Common Factor Method

Now, list down the factors of 570

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Now, list down the factors of 738

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 570,738 . The biggest common factor number is the GCF number.
So the greatest common factor 570,738 is 6.

Lets's calculate LCM of 16,2915

Lowest Common Multiple of 16,2915 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/46640

Therefore, the GCF of Fractions 570/16,738/2915 is 6/46640

Least Common Multiple of 16,2915 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 16,2915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,2915) = 1

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

GCF(16,2915) x common factors =1 x 1 = 1

LCM(16,2915) = ( 16 × 2915 ) / 1

LCM(16,2915) = 46640 / 1

LCM(16,2915) = 46640

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FAQs on GCF of Fractions of 570/16, 738/2915

1. What is the HCF of 570,738?

The HCF of 570,738 is 6

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 570/16, 738/2915?

Answer: GCF of Numerators as per given numbers 570/16, 738/2915 is

GCF of Numerators i.e. for 570,738 is 6

LCM of denominators i.e. for 16,2915 is 46640.

Thus, GCF of Fractions is 6/46640.Finally, GCF of Fractions for 570/16, 738/2915 is 6/46640.