Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 272/62,196/2656
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 272,196
Greatest Common Factor of Numerators i.e. GCF of 272,196 is 4 .
LCM of Denominators means LCM of 62,2656 as per the given fractions.
LCM of 62,2656 is 82336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 272,196
2 | 272, 196 |
2 | 136, 98 |
68, 49 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 272,196 . The biggest common factor number is the GCF number.
So the greatest common factor 272,196 is 4.
Lets's calculate LCM of 62,2656
2 | 62, 2656 |
31, 1328 |
∴ So the LCM of the given numbers is 2 x 31 x 1328 = 82336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82336
Therefore, the GCF of Fractions 272/62,196/2656 is 4/82336
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 62,2656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,2656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,2656) x common factors =2 x 1 = 2
LCM(62,2656) = ( 62 × 2656 ) / 2
LCM(62,2656) = 164672 / 2
LCM(62,2656) = 82336
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 272/62, 196/2656?
Answer: GCF of Numerators as per given numbers 272/62, 196/2656 is
GCF of Numerators i.e. for 272,196 is 4
LCM of denominators i.e. for 62,2656 is 82336.
Thus, GCF of Fractions is 4/82336.Finally, GCF of Fractions for 272/62, 196/2656 is 4/82336.