Greatest Common Factor of 2900/608, 1334/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2900/608, 1334/427

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 2900/608,1334/427

Given fractions are 2900/608,1334/427

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 2900,1334

Greatest Common Factor of Numerators i.e. GCF of 2900,1334 is 58 .

LCM of Denominators means LCM of 608,427 as per the given fractions.

LCM of 608,427 is 259616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2900,1334

GCF of Fractions 2900/608,1334/427 is 58/259616

2 2900, 1334
29 1450, 667
50, 23

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 2900,1334 By Matching Biggest Common Factor Method

Greatest Common Factor of 2900,1334 By Matching Biggest Common Factor Method

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Factors of 1334

List of positive integer factors of 1334 that divides 1334 without a remainder.

1,2,23,29,46,58,667,1334

Greatest Common Factor

We found the factors 2900,1334 . The biggest common factor number is the GCF number.
So the greatest common factor 2900,1334 is 58.

Lets's calculate LCM of 608,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 259616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/259616

Therefore, the GCF of Fractions 2900/608,1334/427 is 58/259616

Least Common Multiple of 608,427 with GCF Formula

Least Common Multiple of 608,427 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 608,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,427) = 1

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

GCF(608,427) x common factors =1 x 1 = 1

LCM(608,427) = ( 608 × 427 ) / 1

LCM(608,427) = 259616 / 1

LCM(608,427) = 259616


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 2900/608, 1334/427

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 2900/608, 1334/427?

Answer: GCF of Numerators as per given numbers 2900/608, 1334/427 is

GCF of Numerators i.e. for 2900,1334 is 58

LCM of denominators i.e. for 608,427 is 259616.

Thus, GCF of Fractions is 58/259616.Finally, GCF of Fractions for 2900/608, 1334/427 is 58/259616.