Greatest Common Factor of 361/43, 299/16, 924/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 361/43, 299/16, 924/670

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 361/43,299/16,924/670

Given fractions are 361/43,299/16,924/670

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 361,299,924

Greatest Common Factor of Numerators i.e. GCF of 361,299,924 is 1 .

LCM of Denominators means LCM of 43,16,670 as per the given fractions.

LCM of 43,16,670 is 230480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 361,299,924

GCF of Fractions 361/43,299/16,924/670 is 1/230480

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 361,299,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,299,924 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 299

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

1,13,23,299

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 361,299,924 . The biggest common factor number is the GCF number.
So the greatest common factor 361,299,924 is 1.

Lets's calculate LCM of 43,16,670

2 43, 16, 670
43, 8, 335

∴ So the LCM of the given numbers is 2 x 43 x 8 x 335 = 230480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230480

Therefore, the GCF of Fractions 361/43,299/16,924/670 is 1/230480

Least Common Multiple of 43,16,670 with GCF Formula

Least Common Multiple of 43,16,670 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 43,16,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,16,670) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,16,670) x common factors =1 x 2 = 2

LCM(43,16,670) = ( 43 × 16 × 670 ) / 2

LCM(43,16,670) = 460960 / 2

LCM(43,16,670) = 230480


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 361/43, 299/16, 924/670

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 361/43, 299/16, 924/670?

Answer: GCF of Numerators as per given numbers 361/43, 299/16, 924/670 is

GCF of Numerators i.e. for 361,299,924 is 1

LCM of denominators i.e. for 43,16,670 is 230480.

Thus, GCF of Fractions is 1/230480.Finally, GCF of Fractions for 361/43, 299/16, 924/670 is 1/230480.