Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/35,34/23,62/13,42/33
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 90,34,62,42
Greatest Common Factor of Numerators i.e. GCF of 90,34,62,42 is 2 .
LCM of Denominators means LCM of 35,23,13,33 as per the given fractions.
LCM of 35,23,13,33 is 345345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,34,62,42
2 | 90, 34, 62, 42 |
45, 17, 31, 21 |
∴ 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 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 90,34,62,42 . The biggest common factor number is the GCF number.
So the greatest common factor 90,34,62,42 is 2.
Lets's calculate LCM of 35,23,13,33
Given numbers has no common factors except 1. So, there LCM is their product i.e 345345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/345345
Therefore, the GCF of Fractions 90/35,34/23,62/13,42/33 is 2/345345
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 35,23,13,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,23,13,33) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,23,13,33) x common factors =1 x 1 = 1
LCM(35,23,13,33) = ( 35 × 23 × 13 × 33 ) / 1
LCM(35,23,13,33) = 345345 / 1
LCM(35,23,13,33) = 345345
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 90/35, 34/23, 62/13, 42/33?
Answer: GCF of Numerators as per given numbers 90/35, 34/23, 62/13, 42/33 is
GCF of Numerators i.e. for 90,34,62,42 is 2
LCM of denominators i.e. for 35,23,13,33 is 345345.
Thus, GCF of Fractions is 2/345345.Finally, GCF of Fractions for 90/35, 34/23, 62/13, 42/33 is 2/345345.