Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2978/38,2852/213
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 2978,2852
Greatest Common Factor of Numerators i.e. GCF of 2978,2852 is 2 .
LCM of Denominators means LCM of 38,213 as per the given fractions.
LCM of 38,213 is 8094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2978,2852
2 | 2978, 2852 |
1489, 1426 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2978
List of positive integer factors of 2978 that divides 2978 without a remainder.
1,2,1489,2978
Factors of 2852
List of positive integer factors of 2852 that divides 2852 without a remainder.
1,2,4,23,31,46,62,92,124,713,1426,2852
Greatest Common Factor
We found the factors 2978,2852 . The biggest common factor number is the GCF number.
So the greatest common factor 2978,2852 is 2.
Lets's calculate LCM of 38,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 8094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8094
Therefore, the GCF of Fractions 2978/38,2852/213 is 2/8094
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 38,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,213) x common factors =1 x 1 = 1
LCM(38,213) = ( 38 × 213 ) / 1
LCM(38,213) = 8094 / 1
LCM(38,213) = 8094
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 2978/38, 2852/213?
Answer: GCF of Numerators as per given numbers 2978/38, 2852/213 is
GCF of Numerators i.e. for 2978,2852 is 2
LCM of denominators i.e. for 38,213 is 8094.
Thus, GCF of Fractions is 2/8094.Finally, GCF of Fractions for 2978/38, 2852/213 is 2/8094.