How to Find GCF of 14/996, 451/206, 208/496?

GCF of 14/996, 451/206, 208/496

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 14/996, 451/206, 208/496 i.e 1/12720912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/996, 451/206, 208/496.

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 14/996,451/206,208/496?

Given fractions are 14/996,451/206,208/496

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 14/996,451/206,208/496, numerators are 14,451,208

Denominators are 996,206,496

The GCF of 14,451,208 is 1 .

LCM of 996,206,496 is 12720912.

The greatest common factor of 14/996,451/206,208/496 = [GCF of 14,451,208]/[LCM of 996,206,496]= 1/12720912

Therefore, the GCF of 14/996,451/206,208/496 is 1/12720912.

Greatest Common Factor of 14,451,208

To find the highest common factor of 14,451,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 451 are 1, 11, 41, 451

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 14,451,208 is 1.

Lets's calculate GCF of 14,451,208

Greatest Common Factor (GCF) of 14,451,208 By Common Division

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

Greatest Common Factor of 14,451,208 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 451

1,11,41,451

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 14,451,208 . The biggest common factor number is the GCF number.
So the greatest common factor 14,451,208 is 1.

Lets's calculate LCM of 996,206,496

Lowest Common Multiple of 996,206,496 using Common Division

2	996, 206, 496
2	498, 103, 248
	249, 103, 124

∴ So the LCM of the given numbers is 2 x 2 x 249 x 103 x 124 = 12720912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12720912

Therefore, the GCF of Fractions 14/996,451/206,208/496 is 1/12720912

Least Common Multiple of 996,206,496 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 996,206,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,206,496) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(996,206,496) x common factors =2 x 4 = 8

LCM(996,206,496) = ( 996 × 206 × 496 ) / 8

LCM(996,206,496) = 101767296 / 8

LCM(996,206,496) = 12720912

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/996, 451/206, 208/496

1. What is the HCF of 14,451,208?

The HCF of 14,451,208 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 14/996, 451/206, 208/496?

Answer: GCF of Numerators as per given numbers 14/996, 451/206, 208/496 is

GCF of Numerators i.e. for 14,451,208 is 1

LCM of denominators i.e. for 996,206,496 is 12720912.

Thus, GCF of Fractions is 1/12720912.Finally, GCF of Fractions for 14/996, 451/206, 208/496 is 1/12720912.