Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/65,426/12,444/49
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 302,426,444
Greatest Common Factor of Numerators i.e. GCF of 302,426,444 is 2 .
LCM of Denominators means LCM of 65,12,49 as per the given fractions.
LCM of 65,12,49 is 38220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 302,426,444
2 | 302, 426, 444 |
151, 213, 222 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 302,426,444 . The biggest common factor number is the GCF number.
So the greatest common factor 302,426,444 is 2.
Lets's calculate LCM of 65,12,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 38220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38220
Therefore, the GCF of Fractions 302/65,426/12,444/49 is 2/38220
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 65,12,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,12,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,12,49) x common factors =1 x 1 = 1
LCM(65,12,49) = ( 65 × 12 × 49 ) / 1
LCM(65,12,49) = 38220 / 1
LCM(65,12,49) = 38220
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 302/65, 426/12, 444/49?
Answer: GCF of Numerators as per given numbers 302/65, 426/12, 444/49 is
GCF of Numerators i.e. for 302,426,444 is 2
LCM of denominators i.e. for 65,12,49 is 38220.
Thus, GCF of Fractions is 2/38220.Finally, GCF of Fractions for 302/65, 426/12, 444/49 is 2/38220.