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GCF of 993/506, 590/768

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 993/506, 590/768 i.e 1/194304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/506, 590/768.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 993/506,590/768?

Given fractions are 993/506,590/768

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 993/506,590/768, numerators are 993,590

Denominators are 506,768

The GCF of 993,590 is 1 .

LCM of 506,768 is 194304.

The greatest common factor of 993/506,590/768 = [GCF of 993,590]/[LCM of 506,768]= 1/194304

Therefore, the GCF of 993/506,590/768 is 1/194304.

Greatest Common Factor of 993,590

To find the highest common factor of 993,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 993 are 1, 3, 331, 993

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 993,590 is 1.

Lets's calculate GCF of 993,590

Greatest Common Factor (GCF) of 993,590 By Common Division

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

Greatest Common Factor of 993,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,590 By Matching Biggest Common Factor Method

Now, list down the factors of 993

:

1,3,331,993

Now, list down the factors of 590

:

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 993,590 . The biggest common factor number is the GCF number.
So the greatest common factor 993,590 is 1.

Lets's calculate LCM of 506,768

Lowest Common Multiple of 506,768 using Common Division

2 506, 768
253, 384

∴ So the LCM of the given numbers is 2 x 253 x 384 = 194304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194304

Therefore, the GCF of Fractions 993/506,590/768 is 1/194304

Least Common Multiple of 506,768 with GCF Formula

Least Common Multiple of 506,768 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 506,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,768) = 2

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

GCF(506,768) x common factors =2 x 1 = 2

LCM(506,768) = ( 506 × 768 ) / 2

LCM(506,768) = 388608 / 2

LCM(506,768) = 194304


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FAQs on GCF of Fractions of 993/506, 590/768

1. What is the HCF of 993,590?

The HCF of 993,590 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 993/506, 590/768?

Answer: GCF of Numerators as per given numbers 993/506, 590/768 is

GCF of Numerators i.e. for 993,590 is 1

LCM of denominators i.e. for 506,768 is 194304.

Thus, GCF of Fractions is 1/194304.Finally, GCF of Fractions for 993/506, 590/768 is 1/194304.