Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/73,96/40,74/45,682/30
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 90,96,74,682
Greatest Common Factor of Numerators i.e. GCF of 90,96,74,682 is 2 .
LCM of Denominators means LCM of 73,40,45,30 as per the given fractions.
LCM of 73,40,45,30 is 26280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,96,74,682
2 | 90, 96, 74, 682 |
45, 48, 37, 341 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 90,96,74,682 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,74,682 is 2.
Lets's calculate LCM of 73,40,45,30
2 | 73, 40, 45, 30 |
3 | 73, 20, 45, 15 |
5 | 73, 20, 5, 15 |
73, 4, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 73 x 4 x 1 x 3 = 26280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26280
Therefore, the GCF of Fractions 90/73,96/40,74/45,682/30 is 2/26280
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 73,40,45,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,40,45,30) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(73,40,45,30) x common factors =1 x 150 = 150
LCM(73,40,45,30) = ( 73 × 40 × 45 × 30 ) / 150
LCM(73,40,45,30) = 3942000 / 150
LCM(73,40,45,30) = 26280
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 90/73, 96/40, 74/45, 682/30?
Answer: GCF of Numerators as per given numbers 90/73, 96/40, 74/45, 682/30 is
GCF of Numerators i.e. for 90,96,74,682 is 2
LCM of denominators i.e. for 73,40,45,30 is 26280.
Thus, GCF of Fractions is 2/26280.Finally, GCF of Fractions for 90/73, 96/40, 74/45, 682/30 is 2/26280.