Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/198,904/684,296/528
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 652,904,296
Greatest Common Factor of Numerators i.e. GCF of 652,904,296 is 4 .
LCM of Denominators means LCM of 198,684,528 as per the given fractions.
LCM of 198,684,528 is 30096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 652,904,296
2 | 652, 904, 296 |
2 | 326, 452, 148 |
163, 226, 74 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 652,904,296 . The biggest common factor number is the GCF number.
So the greatest common factor 652,904,296 is 4.
Lets's calculate LCM of 198,684,528
2 | 198, 684, 528 |
2 | 99, 342, 264 |
3 | 99, 171, 132 |
3 | 33, 57, 44 |
11 | 11, 19, 44 |
1, 19, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 19 x 4 = 30096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/30096
Therefore, the GCF of Fractions 652/198,904/684,296/528 is 4/30096
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 198,684,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,684,528) = 6
common factors(in case of two or more numbers have common factors) = 396
GCF(198,684,528) x common factors =6 x 396 = 2376
LCM(198,684,528) = ( 198 × 684 × 528 ) / 2376
LCM(198,684,528) = 71508096 / 2376
LCM(198,684,528) = 30096
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 652/198, 904/684, 296/528?
Answer: GCF of Numerators as per given numbers 652/198, 904/684, 296/528 is
GCF of Numerators i.e. for 652,904,296 is 4
LCM of denominators i.e. for 198,684,528 is 30096.
Thus, GCF of Fractions is 4/30096.Finally, GCF of Fractions for 652/198, 904/684, 296/528 is 4/30096.