Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 740/60,952/69,388/308
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 740,952,388
Greatest Common Factor of Numerators i.e. GCF of 740,952,388 is 4 .
LCM of Denominators means LCM of 60,69,308 as per the given fractions.
LCM of 60,69,308 is 106260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 740,952,388
2 | 740, 952, 388 |
2 | 370, 476, 194 |
185, 238, 97 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 740,952,388 . The biggest common factor number is the GCF number.
So the greatest common factor 740,952,388 is 4.
Lets's calculate LCM of 60,69,308
2 | 60, 69, 308 |
2 | 30, 69, 154 |
3 | 15, 69, 77 |
5, 23, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 77 = 106260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/106260
Therefore, the GCF of Fractions 740/60,952/69,388/308 is 4/106260
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 60,69,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,69,308) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(60,69,308) x common factors =1 x 12 = 12
LCM(60,69,308) = ( 60 × 69 × 308 ) / 12
LCM(60,69,308) = 1275120 / 12
LCM(60,69,308) = 106260
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 740/60, 952/69, 388/308?
Answer: GCF of Numerators as per given numbers 740/60, 952/69, 388/308 is
GCF of Numerators i.e. for 740,952,388 is 4
LCM of denominators i.e. for 60,69,308 is 106260.
Thus, GCF of Fractions is 4/106260.Finally, GCF of Fractions for 740/60, 952/69, 388/308 is 4/106260.