Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/91,50/10,35/42,15/55
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 22,50,35,15
Greatest Common Factor of Numerators i.e. GCF of 22,50,35,15 is 1 .
LCM of Denominators means LCM of 91,10,42,55 as per the given fractions.
LCM of 91,10,42,55 is 30030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,50,35,15
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 22,50,35,15 . The biggest common factor number is the GCF number.
So the greatest common factor 22,50,35,15 is 1.
Lets's calculate LCM of 91,10,42,55
2 | 91, 10, 42, 55 |
5 | 91, 5, 21, 55 |
7 | 91, 1, 21, 11 |
13, 1, 3, 11 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 1 x 3 x 11 = 30030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30030
Therefore, the GCF of Fractions 22/91,50/10,35/42,15/55 is 1/30030
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 91,10,42,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,10,42,55) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(91,10,42,55) x common factors =1 x 70 = 70
LCM(91,10,42,55) = ( 91 × 10 × 42 × 55 ) / 70
LCM(91,10,42,55) = 2102100 / 70
LCM(91,10,42,55) = 30030
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 22/91, 50/10, 35/42, 15/55?
Answer: GCF of Numerators as per given numbers 22/91, 50/10, 35/42, 15/55 is
GCF of Numerators i.e. for 22,50,35,15 is 1
LCM of denominators i.e. for 91,10,42,55 is 30030.
Thus, GCF of Fractions is 1/30030.Finally, GCF of Fractions for 22/91, 50/10, 35/42, 15/55 is 1/30030.