Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 172/98,150/9968
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 172,150
Greatest Common Factor of Numerators i.e. GCF of 172,150 is 2 .
LCM of Denominators means LCM of 98,9968 as per the given fractions.
LCM of 98,9968 is 69776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 172,150
2 | 172, 150 |
86, 75 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
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 172,150 . The biggest common factor number is the GCF number.
So the greatest common factor 172,150 is 2.
Lets's calculate LCM of 98,9968
2 | 98, 9968 |
7 | 49, 4984 |
7, 712 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 712 = 69776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69776
Therefore, the GCF of Fractions 172/98,150/9968 is 2/69776
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 98,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,9968) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(98,9968) x common factors =14 x 1 = 14
LCM(98,9968) = ( 98 × 9968 ) / 14
LCM(98,9968) = 976864 / 14
LCM(98,9968) = 69776
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 172/98, 150/9968?
Answer: GCF of Numerators as per given numbers 172/98, 150/9968 is
GCF of Numerators i.e. for 172,150 is 2
LCM of denominators i.e. for 98,9968 is 69776.
Thus, GCF of Fractions is 2/69776.Finally, GCF of Fractions for 172/98, 150/9968 is 2/69776.