Greatest Common Factor of 455/42, 299/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/42, 299/778

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 455/42,299/778

Given fractions are 455/42,299/778

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 455,299

Greatest Common Factor of Numerators i.e. GCF of 455,299 is 13 .

LCM of Denominators means LCM of 42,778 as per the given fractions.

LCM of 42,778 is 16338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,299

GCF of Fractions 455/42,299/778 is 13/16338

13 455, 299
35, 23

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 455,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,299 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 455,299 . The biggest common factor number is the GCF number.
So the greatest common factor 455,299 is 13.

Lets's calculate LCM of 42,778

2 42, 778
21, 389

∴ So the LCM of the given numbers is 2 x 21 x 389 = 16338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/16338

Therefore, the GCF of Fractions 455/42,299/778 is 13/16338

Least Common Multiple of 42,778 with GCF Formula

Least Common Multiple of 42,778 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,778) = 2

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

GCF(42,778) x common factors =2 x 1 = 2

LCM(42,778) = ( 42 × 778 ) / 2

LCM(42,778) = 32676 / 2

LCM(42,778) = 16338


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 455/42, 299/778

1. 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.

2. What is the GCF of Fractions for 455/42, 299/778?

Answer: GCF of Numerators as per given numbers 455/42, 299/778 is

GCF of Numerators i.e. for 455,299 is 13

LCM of denominators i.e. for 42,778 is 16338.

Thus, GCF of Fractions is 13/16338.Finally, GCF of Fractions for 455/42, 299/778 is 13/16338.