How to Find GCF of 975/258, 533/856?

GCF of 975/258, 533/856

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 975/258, 533/856 i.e 13/110424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 975/258, 533/856.

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 975/258,533/856?

Given fractions are 975/258,533/856

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 975/258,533/856, numerators are 975,533

Denominators are 258,856

The GCF of 975,533 is 13 .

LCM of 258,856 is 110424.

The greatest common factor of 975/258,533/856 = [GCF of 975,533]/[LCM of 258,856]= 13/110424

Therefore, the GCF of 975/258,533/856 is 13/110424.

Greatest Common Factor of 975,533

To find the highest common factor of 975,533, we have to find the factors of both numbers and list the highest common factor.

The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

The factors of 533 are 1, 13, 41, 533

The HCF of 975,533 is 13.

Lets's calculate GCF of 975,533

Greatest Common Factor (GCF) of 975,533 By Common Division

13	975, 533
	75, 41

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 975,533 By Matching Biggest Common Factor Method

Now, list down the factors of 975

1,3,5,13,15,25,39,65,75,195,325,975

Now, list down the factors of 533

1,13,41,533

Greatest Common Factor

We found the factors 975,533 . The biggest common factor number is the GCF number.
So the greatest common factor 975,533 is 13.

Lets's calculate LCM of 258,856

Lowest Common Multiple of 258,856 using Common Division

2	258, 856
	129, 428

∴ So the LCM of the given numbers is 2 x 129 x 428 = 110424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/110424

Therefore, the GCF of Fractions 975/258,533/856 is 13/110424

Least Common Multiple of 258,856 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 258,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,856) = 2

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

GCF(258,856) x common factors =2 x 1 = 2

LCM(258,856) = ( 258 × 856 ) / 2

LCM(258,856) = 220848 / 2

LCM(258,856) = 110424

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FAQs on GCF of Fractions of 975/258, 533/856

1. What is the HCF of 975,533?

The HCF of 975,533 is 13

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 975/258, 533/856?

Answer: GCF of Numerators as per given numbers 975/258, 533/856 is

GCF of Numerators i.e. for 975,533 is 13

LCM of denominators i.e. for 258,856 is 110424.

Thus, GCF of Fractions is 13/110424.Finally, GCF of Fractions for 975/258, 533/856 is 13/110424.