Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 172/384,1018/957
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 172,1018
Greatest Common Factor of Numerators i.e. GCF of 172,1018 is 2 .
LCM of Denominators means LCM of 384,957 as per the given fractions.
LCM of 384,957 is 122496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 172,1018
2 | 172, 1018 |
86, 509 |
∴ 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 1018
List of positive integer factors of 1018 that divides 1018 without a remainder.
1,2,509,1018
Greatest Common Factor
We found the factors 172,1018 . The biggest common factor number is the GCF number.
So the greatest common factor 172,1018 is 2.
Lets's calculate LCM of 384,957
3 | 384, 957 |
128, 319 |
∴ So the LCM of the given numbers is 3 x 128 x 319 = 122496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/122496
Therefore, the GCF of Fractions 172/384,1018/957 is 2/122496
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 384,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,957) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,957) x common factors =3 x 1 = 3
LCM(384,957) = ( 384 × 957 ) / 3
LCM(384,957) = 367488 / 3
LCM(384,957) = 122496
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 172/384, 1018/957?
Answer: GCF of Numerators as per given numbers 172/384, 1018/957 is
GCF of Numerators i.e. for 172,1018 is 2
LCM of denominators i.e. for 384,957 is 122496.
Thus, GCF of Fractions is 2/122496.Finally, GCF of Fractions for 172/384, 1018/957 is 2/122496.