Greatest Common Factor of 83/24, 670/42, 350/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/24, 670/42, 350/279

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 83/24,670/42,350/279

Given fractions are 83/24,670/42,350/279

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 83,670,350

Greatest Common Factor of Numerators i.e. GCF of 83,670,350 is 1 .

LCM of Denominators means LCM of 24,42,279 as per the given fractions.

LCM of 24,42,279 is 15624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,670,350

GCF of Fractions 83/24,670/42,350/279 is 1/15624

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

Greatest Common Factor of 83,670,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,670,350 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 83,670,350 . The biggest common factor number is the GCF number.
So the greatest common factor 83,670,350 is 1.

Lets's calculate LCM of 24,42,279

2 24, 42, 279
3 12, 21, 279
4, 7, 93

∴ So the LCM of the given numbers is 2 x 3 x 4 x 7 x 93 = 15624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15624

Therefore, the GCF of Fractions 83/24,670/42,350/279 is 1/15624

Least Common Multiple of 24,42,279 with GCF Formula

Least Common Multiple of 24,42,279 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 24,42,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,42,279) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(24,42,279) x common factors =3 x 6 = 18

LCM(24,42,279) = ( 24 × 42 × 279 ) / 18

LCM(24,42,279) = 281232 / 18

LCM(24,42,279) = 15624


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 83/24, 670/42, 350/279

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 83/24, 670/42, 350/279?

Answer: GCF of Numerators as per given numbers 83/24, 670/42, 350/279 is

GCF of Numerators i.e. for 83,670,350 is 1

LCM of denominators i.e. for 24,42,279 is 15624.

Thus, GCF of Fractions is 1/15624.Finally, GCF of Fractions for 83/24, 670/42, 350/279 is 1/15624.