Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/31,609/76,150/67
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 98,609,150
Greatest Common Factor of Numerators i.e. GCF of 98,609,150 is 1 .
LCM of Denominators means LCM of 31,76,67 as per the given fractions.
LCM of 31,76,67 is 157852 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,609,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 98,609,150 . The biggest common factor number is the GCF number.
So the greatest common factor 98,609,150 is 1.
Lets's calculate LCM of 31,76,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 157852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157852
Therefore, the GCF of Fractions 98/31,609/76,150/67 is 1/157852
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 31,76,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,76,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,76,67) x common factors =1 x 1 = 1
LCM(31,76,67) = ( 31 × 76 × 67 ) / 1
LCM(31,76,67) = 157852 / 1
LCM(31,76,67) = 157852
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 98/31, 609/76, 150/67?
Answer: GCF of Numerators as per given numbers 98/31, 609/76, 150/67 is
GCF of Numerators i.e. for 98,609,150 is 1
LCM of denominators i.e. for 31,76,67 is 157852.
Thus, GCF of Fractions is 1/157852.Finally, GCF of Fractions for 98/31, 609/76, 150/67 is 1/157852.