How to Find GCF of 232/584, 6576/292?

GCF of 232/584, 6576/292

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 232/584, 6576/292 i.e 8/584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 232/584, 6576/292.

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 232/584,6576/292?

Given fractions are 232/584,6576/292

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 232/584,6576/292, numerators are 232,6576

Denominators are 584,292

The GCF of 232,6576 is 8 .

LCM of 584,292 is 584.

The greatest common factor of 232/584,6576/292 = [GCF of 232,6576]/[LCM of 584,292]= 8/584

Therefore, the GCF of 232/584,6576/292 is 8/584.

Greatest Common Factor of 232,6576

To find the highest common factor of 232,6576, we have to find the factors of both numbers and list the highest common factor.

The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232

The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576

The HCF of 232,6576 is 8.

Lets's calculate GCF of 232,6576

Greatest Common Factor (GCF) of 232,6576 By Common Division

2	232, 6576
2	116, 3288
2	58, 1644
	29, 822

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 232,6576 By Matching Biggest Common Factor Method

Now, list down the factors of 232

1,2,4,8,29,58,116,232

Now, list down the factors of 6576

1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576

Greatest Common Factor

We found the factors 232,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 232,6576 is 8.

Lets's calculate LCM of 584,292

Lowest Common Multiple of 584,292 using Common Division

2	584, 292
2	292, 146
73	73, 146
	1, 2

∴ So the LCM of the given numbers is 2 x 2 x 73 x 1 x 2 = 584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/584

Therefore, the GCF of Fractions 232/584,6576/292 is 8/584

Least Common Multiple of 584,292 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 584,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,292) = 292

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

GCF(584,292) x common factors =292 x 1 = 292

LCM(584,292) = ( 584 × 292 ) / 292

LCM(584,292) = 170528 / 292

LCM(584,292) = 584

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 232/584, 6576/292

1. What is the HCF of 232,6576?

The HCF of 232,6576 is 8

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 232/584, 6576/292?

Answer: GCF of Numerators as per given numbers 232/584, 6576/292 is

GCF of Numerators i.e. for 232,6576 is 8

LCM of denominators i.e. for 584,292 is 584.

Thus, GCF of Fractions is 8/584.Finally, GCF of Fractions for 232/584, 6576/292 is 8/584.