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GCF of 788/12, 512/589

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 788/12, 512/589 i.e 4/7068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/12, 512/589.

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 788/12,512/589?

Given fractions are 788/12,512/589

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 788/12,512/589, numerators are 788,512

Denominators are 12,589

The GCF of 788,512 is 4 .

LCM of 12,589 is 7068.

The greatest common factor of 788/12,512/589 = [GCF of 788,512]/[LCM of 12,589]= 4/7068

Therefore, the GCF of 788/12,512/589 is 4/7068.

Greatest Common Factor of 788,512

To find the highest common factor of 788,512, we have to find the factors of both numbers and list the highest common factor.

The factors of 788 are 1, 2, 4, 197, 394, 788

The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

The HCF of 788,512 is 4.

Lets's calculate GCF of 788,512

Greatest Common Factor (GCF) of 788,512 By Common Division

2 788, 512
2 394, 256
197, 128

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 788,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,512 By Matching Biggest Common Factor Method

Now, list down the factors of 788

:

1,2,4,197,394,788

Now, list down the factors of 512

:

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 788,512 . The biggest common factor number is the GCF number.
So the greatest common factor 788,512 is 4.

Lets's calculate LCM of 12,589

Lowest Common Multiple of 12,589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7068

Therefore, the GCF of Fractions 788/12,512/589 is 4/7068

Least Common Multiple of 12,589 with GCF Formula

Least Common Multiple of 12,589 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 12,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,589) = 1

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

GCF(12,589) x common factors =1 x 1 = 1

LCM(12,589) = ( 12 × 589 ) / 1

LCM(12,589) = 7068 / 1

LCM(12,589) = 7068


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FAQs on GCF of Fractions of 788/12, 512/589

1. What is the HCF of 788,512?

The HCF of 788,512 is 4

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 788/12, 512/589?

Answer: GCF of Numerators as per given numbers 788/12, 512/589 is

GCF of Numerators i.e. for 788,512 is 4

LCM of denominators i.e. for 12,589 is 7068.

Thus, GCF of Fractions is 4/7068.Finally, GCF of Fractions for 788/12, 512/589 is 4/7068.