Greatest Common Factor of 434/437, 133/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 434/437, 133/437

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 434/437,133/437

Given fractions are 434/437,133/437

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 434,133

Greatest Common Factor of Numerators i.e. GCF of 434,133 is 7 .

LCM of Denominators means LCM of 437,437 as per the given fractions.

LCM of 437,437 is 437 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 434,133

GCF of Fractions 434/437,133/437 is 7/437

7 434, 133
62, 19

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 434,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,133 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 434,133 . The biggest common factor number is the GCF number.
So the greatest common factor 434,133 is 7.

Lets's calculate LCM of 437,437

19 437, 437
23 23, 23
1, 1

∴ So the LCM of the given numbers is 19 x 23 x 1 x 1 = 437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/437

Therefore, the GCF of Fractions 434/437,133/437 is 7/437

Least Common Multiple of 437,437 with GCF Formula

Least Common Multiple of 437,437 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 437,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,437) = 437

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

GCF(437,437) x common factors =437 x 1 = 437

LCM(437,437) = ( 437 × 437 ) / 437

LCM(437,437) = 190969 / 437

LCM(437,437) = 437


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 434/437, 133/437

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 434/437, 133/437?

Answer: GCF of Numerators as per given numbers 434/437, 133/437 is

GCF of Numerators i.e. for 434,133 is 7

LCM of denominators i.e. for 437,437 is 437.

Thus, GCF of Fractions is 7/437.Finally, GCF of Fractions for 434/437, 133/437 is 7/437.