Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/90,22/22,92/329,136/111
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 8,22,92,136
Greatest Common Factor of Numerators i.e. GCF of 8,22,92,136 is 2 .
LCM of Denominators means LCM of 90,22,329,111 as per the given fractions.
LCM of 90,22,329,111 is 12051270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,22,92,136
2 | 8, 22, 92, 136 |
4, 11, 46, 68 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 8,22,92,136 . The biggest common factor number is the GCF number.
So the greatest common factor 8,22,92,136 is 2.
Lets's calculate LCM of 90,22,329,111
2 | 90, 22, 329, 111 |
3 | 45, 11, 329, 111 |
15, 11, 329, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 11 x 329 x 37 = 12051270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12051270
Therefore, the GCF of Fractions 8/90,22/22,92/329,136/111 is 2/12051270
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 90,22,329,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,22,329,111) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,22,329,111) x common factors =1 x 6 = 6
LCM(90,22,329,111) = ( 90 × 22 × 329 × 111 ) / 6
LCM(90,22,329,111) = 72307620 / 6
LCM(90,22,329,111) = 12051270
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 8/90, 22/22, 92/329, 136/111?
Answer: GCF of Numerators as per given numbers 8/90, 22/22, 92/329, 136/111 is
GCF of Numerators i.e. for 8,22,92,136 is 2
LCM of denominators i.e. for 90,22,329,111 is 12051270.
Thus, GCF of Fractions is 2/12051270.Finally, GCF of Fractions for 8/90, 22/22, 92/329, 136/111 is 2/12051270.