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GCF of 828/99, 576/713

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 828/99, 576/713 i.e 36/70587 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/99, 576/713.

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 828/99,576/713?

Given fractions are 828/99,576/713

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 828/99,576/713, numerators are 828,576

Denominators are 99,713

The GCF of 828,576 is 36 .

LCM of 99,713 is 70587.

The greatest common factor of 828/99,576/713 = [GCF of 828,576]/[LCM of 99,713]= 36/70587

Therefore, the GCF of 828/99,576/713 is 36/70587.

Greatest Common Factor of 828,576

To find the highest common factor of 828,576, we have to find the factors of both numbers and list the highest common factor.

The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

The HCF of 828,576 is 36.

Lets's calculate GCF of 828,576

Greatest Common Factor (GCF) of 828,576 By Common Division

2 828, 576
2 414, 288
3 207, 144
3 69, 48
23, 16

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 828,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,576 By Matching Biggest Common Factor Method

Now, list down the factors of 828

:

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Now, list down the factors of 576

:

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 828,576 . The biggest common factor number is the GCF number.
So the greatest common factor 828,576 is 36.


Lets's calculate LCM of 99,713

Lowest Common Multiple of 99,713 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70587

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/70587

Therefore, the GCF of Fractions 828/99,576/713 is 36/70587

Least Common Multiple of 99,713 with GCF Formula

Least Common Multiple of 99,713 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 99,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,713) = 1

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

GCF(99,713) x common factors =1 x 1 = 1

LCM(99,713) = ( 99 × 713 ) / 1

LCM(99,713) = 70587 / 1

LCM(99,713) = 70587


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 828/99, 576/713

1. What is the HCF of 828,576?

The HCF of 828,576 is 36

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 828/99, 576/713?

Answer: GCF of Numerators as per given numbers 828/99, 576/713 is

GCF of Numerators i.e. for 828,576 is 36

LCM of denominators i.e. for 99,713 is 70587.

Thus, GCF of Fractions is 36/70587.Finally, GCF of Fractions for 828/99, 576/713 is 36/70587.