How to Find GCF of 14/227, 460/853, 592/796?

GCF of 14/227, 460/853, 592/796

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 14/227, 460/853, 592/796 i.e 2/154130276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/227, 460/853, 592/796.

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 14/227,460/853,592/796?

Given fractions are 14/227,460/853,592/796

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 14/227,460/853,592/796, numerators are 14,460,592

Denominators are 227,853,796

The GCF of 14,460,592 is 2 .

LCM of 227,853,796 is 154130276.

The greatest common factor of 14/227,460/853,592/796 = [GCF of 14,460,592]/[LCM of 227,853,796]= 2/154130276

Therefore, the GCF of 14/227,460/853,592/796 is 2/154130276.

Greatest Common Factor of 14,460,592

To find the highest common factor of 14,460,592, 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 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The HCF of 14,460,592 is 2.

Lets's calculate GCF of 14,460,592

Greatest Common Factor (GCF) of 14,460,592 By Common Division

2	14, 460, 592
	7, 230, 296

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

Greatest Common Factor of 14,460,592 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 460

1,2,4,5,10,20,23,46,92,115,230,460

Now, list down the factors of 592

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 14,460,592 . The biggest common factor number is the GCF number.
So the greatest common factor 14,460,592 is 2.

Lets's calculate LCM of 227,853,796

Lowest Common Multiple of 227,853,796 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 154130276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154130276

Therefore, the GCF of Fractions 14/227,460/853,592/796 is 2/154130276

Least Common Multiple of 227,853,796 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 227,853,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,853,796) = 1

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

GCF(227,853,796) x common factors =1 x 1 = 1

LCM(227,853,796) = ( 227 × 853 × 796 ) / 1

LCM(227,853,796) = 154130276 / 1

LCM(227,853,796) = 154130276

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/227, 460/853, 592/796

1. What is the HCF of 14,460,592?

The HCF of 14,460,592 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 14/227, 460/853, 592/796?

Answer: GCF of Numerators as per given numbers 14/227, 460/853, 592/796 is

GCF of Numerators i.e. for 14,460,592 is 2

LCM of denominators i.e. for 227,853,796 is 154130276.

Thus, GCF of Fractions is 2/154130276.Finally, GCF of Fractions for 14/227, 460/853, 592/796 is 2/154130276.