Greatest Common Factor of 633/44, 351/3514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 633/44, 351/3514

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 633/44,351/3514

Given fractions are 633/44,351/3514

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 633,351

Greatest Common Factor of Numerators i.e. GCF of 633,351 is 3 .

LCM of Denominators means LCM of 44,3514 as per the given fractions.

LCM of 44,3514 is 77308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 633,351

GCF of Fractions 633/44,351/3514 is 3/77308

3 633, 351
211, 117

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 633,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,351 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 633,351 . The biggest common factor number is the GCF number.
So the greatest common factor 633,351 is 3.

Lets's calculate LCM of 44,3514

2 44, 3514
22, 1757

∴ So the LCM of the given numbers is 2 x 22 x 1757 = 77308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77308

Therefore, the GCF of Fractions 633/44,351/3514 is 3/77308

Least Common Multiple of 44,3514 with GCF Formula

Least Common Multiple of 44,3514 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 44,3514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,3514) = 2

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

GCF(44,3514) x common factors =2 x 1 = 2

LCM(44,3514) = ( 44 × 3514 ) / 2

LCM(44,3514) = 154616 / 2

LCM(44,3514) = 77308


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 633/44, 351/3514

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 633/44, 351/3514?

Answer: GCF of Numerators as per given numbers 633/44, 351/3514 is

GCF of Numerators i.e. for 633,351 is 3

LCM of denominators i.e. for 44,3514 is 77308.

Thus, GCF of Fractions is 3/77308.Finally, GCF of Fractions for 633/44, 351/3514 is 3/77308.