How to Find GCF of 336/230, 264/451?

GCF of 336/230, 264/451

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 336/230, 264/451 i.e 24/103730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/230, 264/451.

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 336/230,264/451?

Given fractions are 336/230,264/451

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 336/230,264/451, numerators are 336,264

Denominators are 230,451

The GCF of 336,264 is 24 .

LCM of 230,451 is 103730.

The greatest common factor of 336/230,264/451 = [GCF of 336,264]/[LCM of 230,451]= 24/103730

Therefore, the GCF of 336/230,264/451 is 24/103730.

Greatest Common Factor of 336,264

To find the highest common factor of 336,264, we have to find the factors of both numbers and list the highest common factor.

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 336,264 is 24.

Lets's calculate GCF of 336,264

Greatest Common Factor (GCF) of 336,264 By Common Division

2	336, 264
2	168, 132
2	84, 66
3	42, 33
	14, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 336,264 By Matching Biggest Common Factor Method

Now, list down the factors of 336

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Now, list down the factors of 264

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 336,264 . The biggest common factor number is the GCF number.
So the greatest common factor 336,264 is 24.

Lets's calculate LCM of 230,451

Lowest Common Multiple of 230,451 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 103730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/103730

Therefore, the GCF of Fractions 336/230,264/451 is 24/103730

Least Common Multiple of 230,451 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 230,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,451) = 1

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

GCF(230,451) x common factors =1 x 1 = 1

LCM(230,451) = ( 230 × 451 ) / 1

LCM(230,451) = 103730 / 1

LCM(230,451) = 103730

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FAQs on GCF of Fractions of 336/230, 264/451

1. What is the HCF of 336,264?

The HCF of 336,264 is 24

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 336/230, 264/451?

Answer: GCF of Numerators as per given numbers 336/230, 264/451 is

GCF of Numerators i.e. for 336,264 is 24

LCM of denominators i.e. for 230,451 is 103730.

Thus, GCF of Fractions is 24/103730.Finally, GCF of Fractions for 336/230, 264/451 is 24/103730.