Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 548/376,158/215
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 548,158
Greatest Common Factor of Numerators i.e. GCF of 548,158 is 2 .
LCM of Denominators means LCM of 376,215 as per the given fractions.
LCM of 376,215 is 80840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 548,158
2 | 548, 158 |
274, 79 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 548,158 . The biggest common factor number is the GCF number.
So the greatest common factor 548,158 is 2.
Lets's calculate LCM of 376,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 80840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80840
Therefore, the GCF of Fractions 548/376,158/215 is 2/80840
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 376,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,215) x common factors =1 x 1 = 1
LCM(376,215) = ( 376 × 215 ) / 1
LCM(376,215) = 80840 / 1
LCM(376,215) = 80840
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 548/376, 158/215?
Answer: GCF of Numerators as per given numbers 548/376, 158/215 is
GCF of Numerators i.e. for 548,158 is 2
LCM of denominators i.e. for 376,215 is 80840.
Thus, GCF of Fractions is 2/80840.Finally, GCF of Fractions for 548/376, 158/215 is 2/80840.