Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2232/212,9700/928
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 2232,9700
Greatest Common Factor of Numerators i.e. GCF of 2232,9700 is 4 .
LCM of Denominators means LCM of 212,928 as per the given fractions.
LCM of 212,928 is 49184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2232,9700
2 | 2232, 9700 |
2 | 1116, 4850 |
558, 2425 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2232
List of positive integer factors of 2232 that divides 2232 without a remainder.
1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Factors of 9700
List of positive integer factors of 9700 that divides 9700 without a remainder.
1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700
Greatest Common Factor
We found the factors 2232,9700 . The biggest common factor number is the GCF number.
So the greatest common factor 2232,9700 is 4.
Lets's calculate LCM of 212,928
2 | 212, 928 |
2 | 106, 464 |
53, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 232 = 49184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49184
Therefore, the GCF of Fractions 2232/212,9700/928 is 4/49184
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 212,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,928) x common factors =4 x 1 = 4
LCM(212,928) = ( 212 × 928 ) / 4
LCM(212,928) = 196736 / 4
LCM(212,928) = 49184
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 2232/212, 9700/928?
Answer: GCF of Numerators as per given numbers 2232/212, 9700/928 is
GCF of Numerators i.e. for 2232,9700 is 4
LCM of denominators i.e. for 212,928 is 49184.
Thus, GCF of Fractions is 4/49184.Finally, GCF of Fractions for 2232/212, 9700/928 is 4/49184.