Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/14,75/90,703/342
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 90,75,703
Greatest Common Factor of Numerators i.e. GCF of 90,75,703 is 1 .
LCM of Denominators means LCM of 14,90,342 as per the given fractions.
LCM of 14,90,342 is 11970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,75,703
∴ So GCF of numbers is 1 because of no common factors present between them.
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 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Greatest Common Factor
We found the factors 90,75,703 . The biggest common factor number is the GCF number.
So the greatest common factor 90,75,703 is 1.
Lets's calculate LCM of 14,90,342
2 | 14, 90, 342 |
3 | 7, 45, 171 |
3 | 7, 15, 57 |
7, 5, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 19 = 11970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970
Therefore, the GCF of Fractions 90/14,75/90,703/342 is 1/11970
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 14,90,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,90,342) = 2
common factors(in case of two or more numbers have common factors) = 18
GCF(14,90,342) x common factors =2 x 18 = 36
LCM(14,90,342) = ( 14 × 90 × 342 ) / 36
LCM(14,90,342) = 430920 / 36
LCM(14,90,342) = 11970
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 90/14, 75/90, 703/342?
Answer: GCF of Numerators as per given numbers 90/14, 75/90, 703/342 is
GCF of Numerators i.e. for 90,75,703 is 1
LCM of denominators i.e. for 14,90,342 is 11970.
Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 90/14, 75/90, 703/342 is 1/11970.