Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/90,12/57,40/84,612/93
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 49,12,40,612
Greatest Common Factor of Numerators i.e. GCF of 49,12,40,612 is 1 .
LCM of Denominators means LCM of 90,57,84,93 as per the given fractions.
LCM of 90,57,84,93 is 742140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,12,40,612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 49,12,40,612 . The biggest common factor number is the GCF number.
So the greatest common factor 49,12,40,612 is 1.
Lets's calculate LCM of 90,57,84,93
2 | 90, 57, 84, 93 |
3 | 45, 57, 42, 93 |
15, 19, 14, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 19 x 14 x 31 = 742140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/742140
Therefore, the GCF of Fractions 49/90,12/57,40/84,612/93 is 1/742140
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 90,57,84,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,57,84,93) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(90,57,84,93) x common factors =3 x 18 = 54
LCM(90,57,84,93) = ( 90 × 57 × 84 × 93 ) / 54
LCM(90,57,84,93) = 40075560 / 54
LCM(90,57,84,93) = 742140
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 49/90, 12/57, 40/84, 612/93?
Answer: GCF of Numerators as per given numbers 49/90, 12/57, 40/84, 612/93 is
GCF of Numerators i.e. for 49,12,40,612 is 1
LCM of denominators i.e. for 90,57,84,93 is 742140.
Thus, GCF of Fractions is 1/742140.Finally, GCF of Fractions for 49/90, 12/57, 40/84, 612/93 is 1/742140.