Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/73,62/79,30/24,42/16
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 59,62,30,42
Greatest Common Factor of Numerators i.e. GCF of 59,62,30,42 is 1 .
LCM of Denominators means LCM of 73,79,24,16 as per the given fractions.
LCM of 73,79,24,16 is 276816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,62,30,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
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 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 59,62,30,42 . The biggest common factor number is the GCF number.
So the greatest common factor 59,62,30,42 is 1.
Lets's calculate LCM of 73,79,24,16
2 | 73, 79, 24, 16 |
2 | 73, 79, 12, 8 |
2 | 73, 79, 6, 4 |
73, 79, 3, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 79 x 3 x 2 = 276816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276816
Therefore, the GCF of Fractions 59/73,62/79,30/24,42/16 is 1/276816
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 73,79,24,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,79,24,16) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(73,79,24,16) x common factors =1 x 8 = 8
LCM(73,79,24,16) = ( 73 × 79 × 24 × 16 ) / 8
LCM(73,79,24,16) = 2214528 / 8
LCM(73,79,24,16) = 276816
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 59/73, 62/79, 30/24, 42/16?
Answer: GCF of Numerators as per given numbers 59/73, 62/79, 30/24, 42/16 is
GCF of Numerators i.e. for 59,62,30,42 is 1
LCM of denominators i.e. for 73,79,24,16 is 276816.
Thus, GCF of Fractions is 1/276816.Finally, GCF of Fractions for 59/73, 62/79, 30/24, 42/16 is 1/276816.