Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7968/74,2470/395
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 7968,2470
Greatest Common Factor of Numerators i.e. GCF of 7968,2470 is 2 .
LCM of Denominators means LCM of 74,395 as per the given fractions.
LCM of 74,395 is 29230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7968,2470
2 | 7968, 2470 |
3984, 1235 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7968
List of positive integer factors of 7968 that divides 7968 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968
Factors of 2470
List of positive integer factors of 2470 that divides 2470 without a remainder.
1,2,5,10,13,19,26,38,65,95,130,190,247,494,1235,2470
Greatest Common Factor
We found the factors 7968,2470 . The biggest common factor number is the GCF number.
So the greatest common factor 7968,2470 is 2.
Lets's calculate LCM of 74,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 29230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29230
Therefore, the GCF of Fractions 7968/74,2470/395 is 2/29230
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 74,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,395) x common factors =1 x 1 = 1
LCM(74,395) = ( 74 × 395 ) / 1
LCM(74,395) = 29230 / 1
LCM(74,395) = 29230
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 7968/74, 2470/395?
Answer: GCF of Numerators as per given numbers 7968/74, 2470/395 is
GCF of Numerators i.e. for 7968,2470 is 2
LCM of denominators i.e. for 74,395 is 29230.
Thus, GCF of Fractions is 2/29230.Finally, GCF of Fractions for 7968/74, 2470/395 is 2/29230.