Greatest Common Factor of 574/659, 7434/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 574/659, 7434/662

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 574/659,7434/662

Given fractions are 574/659,7434/662

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 574,7434

Greatest Common Factor of Numerators i.e. GCF of 574,7434 is 14 .

LCM of Denominators means LCM of 659,662 as per the given fractions.

LCM of 659,662 is 436258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 574,7434

GCF of Fractions 574/659,7434/662 is 14/436258

2 574, 7434
7 287, 3717
41, 531

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 574,7434 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,7434 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434

Greatest Common Factor

We found the factors 574,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 574,7434 is 14.

Lets's calculate LCM of 659,662

Given numbers has no common factors except 1. So, there LCM is their product i.e 436258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/436258

Therefore, the GCF of Fractions 574/659,7434/662 is 14/436258

Least Common Multiple of 659,662 with GCF Formula

Least Common Multiple of 659,662 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 659,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,662) = 1

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

GCF(659,662) x common factors =1 x 1 = 1

LCM(659,662) = ( 659 × 662 ) / 1

LCM(659,662) = 436258 / 1

LCM(659,662) = 436258


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 574/659, 7434/662

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 574/659, 7434/662?

Answer: GCF of Numerators as per given numbers 574/659, 7434/662 is

GCF of Numerators i.e. for 574,7434 is 14

LCM of denominators i.e. for 659,662 is 436258.

Thus, GCF of Fractions is 14/436258.Finally, GCF of Fractions for 574/659, 7434/662 is 14/436258.