Greatest Common Factor of 30/24, 60/93, 416/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/24, 60/93, 416/508

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 30/24,60/93,416/508

Given fractions are 30/24,60/93,416/508

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 30,60,416

Greatest Common Factor of Numerators i.e. GCF of 30,60,416 is 2 .

LCM of Denominators means LCM of 24,93,508 as per the given fractions.

LCM of 24,93,508 is 94488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,60,416

GCF of Fractions 30/24,60/93,416/508 is 2/94488

2 30, 60, 416
15, 30, 208

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 30,60,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,60,416 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 30,60,416 . The biggest common factor number is the GCF number.
So the greatest common factor 30,60,416 is 2.

Lets's calculate LCM of 24,93,508

2 24, 93, 508
2 12, 93, 254
3 6, 93, 127
2, 31, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 31 x 127 = 94488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94488

Therefore, the GCF of Fractions 30/24,60/93,416/508 is 2/94488

Least Common Multiple of 24,93,508 with GCF Formula

Least Common Multiple of 24,93,508 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 24,93,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,93,508) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,93,508) x common factors =1 x 12 = 12

LCM(24,93,508) = ( 24 × 93 × 508 ) / 12

LCM(24,93,508) = 1133856 / 12

LCM(24,93,508) = 94488


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 30/24, 60/93, 416/508

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 30/24, 60/93, 416/508?

Answer: GCF of Numerators as per given numbers 30/24, 60/93, 416/508 is

GCF of Numerators i.e. for 30,60,416 is 2

LCM of denominators i.e. for 24,93,508 is 94488.

Thus, GCF of Fractions is 2/94488.Finally, GCF of Fractions for 30/24, 60/93, 416/508 is 2/94488.