Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/91,57/30,12/25,84/54
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 62,57,12,84
Greatest Common Factor of Numerators i.e. GCF of 62,57,12,84 is 1 .
LCM of Denominators means LCM of 91,30,25,54 as per the given fractions.
LCM of 91,30,25,54 is 122850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,57,12,84
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Greatest Common Factor
We found the factors 62,57,12,84 . The biggest common factor number is the GCF number.
So the greatest common factor 62,57,12,84 is 1.
Lets's calculate LCM of 91,30,25,54
2 | 91, 30, 25, 54 |
3 | 91, 15, 25, 27 |
5 | 91, 5, 25, 9 |
91, 1, 5, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 91 x 1 x 5 x 9 = 122850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122850
Therefore, the GCF of Fractions 62/91,57/30,12/25,84/54 is 1/122850
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 91,30,25,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,30,25,54) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(91,30,25,54) x common factors =1 x 30 = 30
LCM(91,30,25,54) = ( 91 × 30 × 25 × 54 ) / 30
LCM(91,30,25,54) = 3685500 / 30
LCM(91,30,25,54) = 122850
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 62/91, 57/30, 12/25, 84/54?
Answer: GCF of Numerators as per given numbers 62/91, 57/30, 12/25, 84/54 is
GCF of Numerators i.e. for 62,57,12,84 is 1
LCM of denominators i.e. for 91,30,25,54 is 122850.
Thus, GCF of Fractions is 1/122850.Finally, GCF of Fractions for 62/91, 57/30, 12/25, 84/54 is 1/122850.