How to Find GCF of 384/713, 851/600?

GCF of 384/713, 851/600

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 384/713, 851/600 i.e 1/427800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/713, 851/600.

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 384/713,851/600?

Given fractions are 384/713,851/600

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 384/713,851/600, numerators are 384,851

Denominators are 713,600

The GCF of 384,851 is 1 .

LCM of 713,600 is 427800.

The greatest common factor of 384/713,851/600 = [GCF of 384,851]/[LCM of 713,600]= 1/427800

Therefore, the GCF of 384/713,851/600 is 1/427800.

Greatest Common Factor of 384,851

To find the highest common factor of 384,851, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 851 are 1, 23, 37, 851

The HCF of 384,851 is 1.

Lets's calculate GCF of 384,851

Greatest Common Factor (GCF) of 384,851 By Common Division

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

Greatest Common Factor of 384,851 By Matching Biggest Common Factor Method

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 851

1,23,37,851

Greatest Common Factor

We found the factors 384,851 . The biggest common factor number is the GCF number.
So the greatest common factor 384,851 is 1.

Lets's calculate LCM of 713,600

Lowest Common Multiple of 713,600 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 427800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427800

Therefore, the GCF of Fractions 384/713,851/600 is 1/427800

Least Common Multiple of 713,600 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 713,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,600) = 1

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

GCF(713,600) x common factors =1 x 1 = 1

LCM(713,600) = ( 713 × 600 ) / 1

LCM(713,600) = 427800 / 1

LCM(713,600) = 427800

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FAQs on GCF of Fractions of 384/713, 851/600

1. What is the HCF of 384,851?

The HCF of 384,851 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 384/713, 851/600?

Answer: GCF of Numerators as per given numbers 384/713, 851/600 is

GCF of Numerators i.e. for 384,851 is 1

LCM of denominators i.e. for 713,600 is 427800.

Thus, GCF of Fractions is 1/427800.Finally, GCF of Fractions for 384/713, 851/600 is 1/427800.