How to Find GCF of 1568/592, 5136/1045?

GCF of 1568/592, 5136/1045

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 1568/592, 5136/1045 i.e 16/618640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/592, 5136/1045.

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 1568/592,5136/1045?

Given fractions are 1568/592,5136/1045

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 1568/592,5136/1045, numerators are 1568,5136

Denominators are 592,1045

The GCF of 1568,5136 is 16 .

LCM of 592,1045 is 618640.

The greatest common factor of 1568/592,5136/1045 = [GCF of 1568,5136]/[LCM of 592,1045]= 16/618640

Therefore, the GCF of 1568/592,5136/1045 is 16/618640.

Greatest Common Factor of 1568,5136

To find the highest common factor of 1568,5136, we have to find the factors of both numbers and list the highest common factor.

The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568

The factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136

The HCF of 1568,5136 is 16.

Lets's calculate GCF of 1568,5136

Greatest Common Factor (GCF) of 1568,5136 By Common Division

2	1568, 5136
2	784, 2568
2	392, 1284
2	196, 642
	98, 321

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 1568,5136 By Matching Biggest Common Factor Method

Now, list down the factors of 1568

1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568

Now, list down the factors of 5136

1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136

Greatest Common Factor

We found the factors 1568,5136 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,5136 is 16.

Lets's calculate LCM of 592,1045

Lowest Common Multiple of 592,1045 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 618640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/618640

Therefore, the GCF of Fractions 1568/592,5136/1045 is 16/618640

Least Common Multiple of 592,1045 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 592,1045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,1045) = 1

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

GCF(592,1045) x common factors =1 x 1 = 1

LCM(592,1045) = ( 592 × 1045 ) / 1

LCM(592,1045) = 618640 / 1

LCM(592,1045) = 618640

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1568/592, 5136/1045

1. What is the HCF of 1568,5136?

The HCF of 1568,5136 is 16

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 1568/592, 5136/1045?

Answer: GCF of Numerators as per given numbers 1568/592, 5136/1045 is

GCF of Numerators i.e. for 1568,5136 is 16

LCM of denominators i.e. for 592,1045 is 618640.

Thus, GCF of Fractions is 16/618640.Finally, GCF of Fractions for 1568/592, 5136/1045 is 16/618640.