How to Find GCF of 65/13, 573/25, 564/864?

GCF of 65/13, 573/25, 564/864

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 65/13, 573/25, 564/864 i.e 1/280800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/13, 573/25, 564/864.

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 65/13,573/25,564/864?

Given fractions are 65/13,573/25,564/864

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 65/13,573/25,564/864, numerators are 65,573,564

Denominators are 13,25,864

The GCF of 65,573,564 is 1 .

LCM of 13,25,864 is 280800.

The greatest common factor of 65/13,573/25,564/864 = [GCF of 65,573,564]/[LCM of 13,25,864]= 1/280800

Therefore, the GCF of 65/13,573/25,564/864 is 1/280800.

Greatest Common Factor of 65,573,564

To find the highest common factor of 65,573,564, we have to find the factors of both numbers and list the highest common factor.

The factors of 65 are 1, 5, 13, 65

The factors of 573 are 1, 3, 191, 573

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The HCF of 65,573,564 is 1.

Lets's calculate GCF of 65,573,564

Greatest Common Factor (GCF) of 65,573,564 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 65,573,564 By Matching Biggest Common Factor Method

Now, list down the factors of 65

1,5,13,65

Now, list down the factors of 573

1,3,191,573

Now, list down the factors of 564

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 65,573,564 . The biggest common factor number is the GCF number.
So the greatest common factor 65,573,564 is 1.

Lets's calculate LCM of 13,25,864

Lowest Common Multiple of 13,25,864 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 280800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280800

Therefore, the GCF of Fractions 65/13,573/25,564/864 is 1/280800

Least Common Multiple of 13,25,864 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 13,25,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,25,864) = 1

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

GCF(13,25,864) x common factors =1 x 1 = 1

LCM(13,25,864) = ( 13 × 25 × 864 ) / 1

LCM(13,25,864) = 280800 / 1

LCM(13,25,864) = 280800

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FAQs on GCF of Fractions of 65/13, 573/25, 564/864

1. What is the HCF of 65,573,564?

The HCF of 65,573,564 is 1

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 65/13, 573/25, 564/864?

Answer: GCF of Numerators as per given numbers 65/13, 573/25, 564/864 is

GCF of Numerators i.e. for 65,573,564 is 1

LCM of denominators i.e. for 13,25,864 is 280800.

Thus, GCF of Fractions is 1/280800.Finally, GCF of Fractions for 65/13, 573/25, 564/864 is 1/280800.