How to Find GCF of 8993/562, 1075/1324?

GCF of 8993/562, 1075/1324

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 8993/562, 1075/1324 i.e 1/372044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8993/562, 1075/1324.

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 8993/562,1075/1324?

Given fractions are 8993/562,1075/1324

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 8993/562,1075/1324, numerators are 8993,1075

Denominators are 562,1324

The GCF of 8993,1075 is 1 .

LCM of 562,1324 is 372044.

The greatest common factor of 8993/562,1075/1324 = [GCF of 8993,1075]/[LCM of 562,1324]= 1/372044

Therefore, the GCF of 8993/562,1075/1324 is 1/372044.

Greatest Common Factor of 8993,1075

To find the highest common factor of 8993,1075, we have to find the factors of both numbers and list the highest common factor.

The factors of 8993 are 1, 17, 23, 391, 529, 8993

The factors of 1075 are 1, 5, 25, 43, 215, 1075

The HCF of 8993,1075 is 1.

Lets's calculate GCF of 8993,1075

Greatest Common Factor (GCF) of 8993,1075 By Common Division

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

Greatest Common Factor of 8993,1075 By Matching Biggest Common Factor Method

Now, list down the factors of 8993

1,17,23,391,529,8993

Now, list down the factors of 1075

1,5,25,43,215,1075

Greatest Common Factor

We found the factors 8993,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 8993,1075 is 1.

Lets's calculate LCM of 562,1324

Lowest Common Multiple of 562,1324 using Common Division

2	562, 1324
	281, 662

∴ So the LCM of the given numbers is 2 x 281 x 662 = 372044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372044

Therefore, the GCF of Fractions 8993/562,1075/1324 is 1/372044

Least Common Multiple of 562,1324 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 562,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,1324) = 2

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

GCF(562,1324) x common factors =2 x 1 = 2

LCM(562,1324) = ( 562 × 1324 ) / 2

LCM(562,1324) = 744088 / 2

LCM(562,1324) = 372044

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FAQs on GCF of Fractions of 8993/562, 1075/1324

1. What is the HCF of 8993,1075?

The HCF of 8993,1075 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 8993/562, 1075/1324?

Answer: GCF of Numerators as per given numbers 8993/562, 1075/1324 is

GCF of Numerators i.e. for 8993,1075 is 1

LCM of denominators i.e. for 562,1324 is 372044.

Thus, GCF of Fractions is 1/372044.Finally, GCF of Fractions for 8993/562, 1075/1324 is 1/372044.