How to Find GCF of 14/99, 926/46, 678/312?

GCF of 14/99, 926/46, 678/312

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 14/99, 926/46, 678/312 i.e 2/236808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/99, 926/46, 678/312.

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 14/99,926/46,678/312?

Given fractions are 14/99,926/46,678/312

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 14/99,926/46,678/312, numerators are 14,926,678

Denominators are 99,46,312

The GCF of 14,926,678 is 2 .

LCM of 99,46,312 is 236808.

The greatest common factor of 14/99,926/46,678/312 = [GCF of 14,926,678]/[LCM of 99,46,312]= 2/236808

Therefore, the GCF of 14/99,926/46,678/312 is 2/236808.

Greatest Common Factor of 14,926,678

To find the highest common factor of 14,926,678, 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 926 are 1, 2, 463, 926

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The HCF of 14,926,678 is 2.

Lets's calculate GCF of 14,926,678

Greatest Common Factor (GCF) of 14,926,678 By Common Division

2	14, 926, 678
	7, 463, 339

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

Greatest Common Factor of 14,926,678 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 926

1,2,463,926

Now, list down the factors of 678

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 14,926,678 . The biggest common factor number is the GCF number.
So the greatest common factor 14,926,678 is 2.

Lets's calculate LCM of 99,46,312

Lowest Common Multiple of 99,46,312 using Common Division

2	99, 46, 312
3	99, 23, 156
	33, 23, 52

∴ So the LCM of the given numbers is 2 x 3 x 33 x 23 x 52 = 236808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/236808

Therefore, the GCF of Fractions 14/99,926/46,678/312 is 2/236808

Least Common Multiple of 99,46,312 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 99,46,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,46,312) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,46,312) x common factors =1 x 6 = 6

LCM(99,46,312) = ( 99 × 46 × 312 ) / 6

LCM(99,46,312) = 1420848 / 6

LCM(99,46,312) = 236808

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/99, 926/46, 678/312

1. What is the HCF of 14,926,678?

The HCF of 14,926,678 is 2

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 14/99, 926/46, 678/312?

Answer: GCF of Numerators as per given numbers 14/99, 926/46, 678/312 is

GCF of Numerators i.e. for 14,926,678 is 2

LCM of denominators i.e. for 99,46,312 is 236808.

Thus, GCF of Fractions is 2/236808.Finally, GCF of Fractions for 14/99, 926/46, 678/312 is 2/236808.