Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/48,102/322
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 358,102
Greatest Common Factor of Numerators i.e. GCF of 358,102 is 2 .
LCM of Denominators means LCM of 48,322 as per the given fractions.
LCM of 48,322 is 7728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,102
2 | 358, 102 |
179, 51 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 358,102 . The biggest common factor number is the GCF number.
So the greatest common factor 358,102 is 2.
Lets's calculate LCM of 48,322
2 | 48, 322 |
24, 161 |
∴ So the LCM of the given numbers is 2 x 24 x 161 = 7728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7728
Therefore, the GCF of Fractions 358/48,102/322 is 2/7728
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 48,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(48,322) x common factors =2 x 1 = 2
LCM(48,322) = ( 48 × 322 ) / 2
LCM(48,322) = 15456 / 2
LCM(48,322) = 7728
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 358/48, 102/322?
Answer: GCF of Numerators as per given numbers 358/48, 102/322 is
GCF of Numerators i.e. for 358,102 is 2
LCM of denominators i.e. for 48,322 is 7728.
Thus, GCF of Fractions is 2/7728.Finally, GCF of Fractions for 358/48, 102/322 is 2/7728.