How to Find GCF of 479/428, 2313/4456?

GCF of 479/428, 2313/4456

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 479/428, 2313/4456 i.e 1/476792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/428, 2313/4456.

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 479/428,2313/4456?

Given fractions are 479/428,2313/4456

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 479/428,2313/4456, numerators are 479,2313

Denominators are 428,4456

The GCF of 479,2313 is 1 .

LCM of 428,4456 is 476792.

The greatest common factor of 479/428,2313/4456 = [GCF of 479,2313]/[LCM of 428,4456]= 1/476792

Therefore, the GCF of 479/428,2313/4456 is 1/476792.

Greatest Common Factor of 479,2313

To find the highest common factor of 479,2313, we have to find the factors of both numbers and list the highest common factor.

The factors of 479 are 1, 479

The factors of 2313 are 1, 3, 9, 257, 771, 2313

The HCF of 479,2313 is 1.

Lets's calculate GCF of 479,2313

Greatest Common Factor (GCF) of 479,2313 By Common Division

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

Greatest Common Factor of 479,2313 By Matching Biggest Common Factor Method

Now, list down the factors of 479

1,479

Now, list down the factors of 2313

1,3,9,257,771,2313

Greatest Common Factor

We found the factors 479,2313 . The biggest common factor number is the GCF number.
So the greatest common factor 479,2313 is 1.

Lets's calculate LCM of 428,4456

Lowest Common Multiple of 428,4456 using Common Division

2	428, 4456
2	214, 2228
	107, 1114

∴ So the LCM of the given numbers is 2 x 2 x 107 x 1114 = 476792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476792

Therefore, the GCF of Fractions 479/428,2313/4456 is 1/476792

Least Common Multiple of 428,4456 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 428,4456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,4456) = 4

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

GCF(428,4456) x common factors =4 x 1 = 4

LCM(428,4456) = ( 428 × 4456 ) / 4

LCM(428,4456) = 1907168 / 4

LCM(428,4456) = 476792

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 479/428, 2313/4456

1. What is the HCF of 479,2313?

The HCF of 479,2313 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 479/428, 2313/4456?

Answer: GCF of Numerators as per given numbers 479/428, 2313/4456 is

GCF of Numerators i.e. for 479,2313 is 1

LCM of denominators i.e. for 428,4456 is 476792.

Thus, GCF of Fractions is 1/476792.Finally, GCF of Fractions for 479/428, 2313/4456 is 1/476792.