Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/22,24/80,46/86,52/30
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 42,24,46,52
Greatest Common Factor of Numerators i.e. GCF of 42,24,46,52 is 2 .
LCM of Denominators means LCM of 22,80,86,30 as per the given fractions.
LCM of 22,80,86,30 is 113520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,24,46,52
2 | 42, 24, 46, 52 |
21, 12, 23, 26 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 42,24,46,52 . The biggest common factor number is the GCF number.
So the greatest common factor 42,24,46,52 is 2.
Lets's calculate LCM of 22,80,86,30
2 | 22, 80, 86, 30 |
5 | 11, 40, 43, 15 |
11, 8, 43, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 8 x 43 x 3 = 113520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113520
Therefore, the GCF of Fractions 42/22,24/80,46/86,52/30 is 2/113520
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 22,80,86,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,80,86,30) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(22,80,86,30) x common factors =2 x 20 = 40
LCM(22,80,86,30) = ( 22 × 80 × 86 × 30 ) / 40
LCM(22,80,86,30) = 4540800 / 40
LCM(22,80,86,30) = 113520
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 42/22, 24/80, 46/86, 52/30?
Answer: GCF of Numerators as per given numbers 42/22, 24/80, 46/86, 52/30 is
GCF of Numerators i.e. for 42,24,46,52 is 2
LCM of denominators i.e. for 22,80,86,30 is 113520.
Thus, GCF of Fractions is 2/113520.Finally, GCF of Fractions for 42/22, 24/80, 46/86, 52/30 is 2/113520.