Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8568/78,5148/199
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 8568,5148
Greatest Common Factor of Numerators i.e. GCF of 8568,5148 is 36 .
LCM of Denominators means LCM of 78,199 as per the given fractions.
LCM of 78,199 is 15522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8568,5148
2 | 8568, 5148 |
2 | 4284, 2574 |
3 | 2142, 1287 |
3 | 714, 429 |
238, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 8568
List of positive integer factors of 8568 that divides 8568 without a remainder.
1,2,3,4,6,7,8,9,12,14,17,18,21,24,28,34,36,42,51,56,63,68,72,84,102,119,126,136,153,168,204,238,252,306,357,408,476,504,612,714,952,1071,1224,1428,2142,2856,4284,8568
Factors of 5148
List of positive integer factors of 5148 that divides 5148 without a remainder.
1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 8568,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 8568,5148 is 36.
Lets's calculate LCM of 78,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 15522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/15522
Therefore, the GCF of Fractions 8568/78,5148/199 is 36/15522
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 78,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,199) x common factors =1 x 1 = 1
LCM(78,199) = ( 78 × 199 ) / 1
LCM(78,199) = 15522 / 1
LCM(78,199) = 15522
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 8568/78, 5148/199?
Answer: GCF of Numerators as per given numbers 8568/78, 5148/199 is
GCF of Numerators i.e. for 8568,5148 is 36
LCM of denominators i.e. for 78,199 is 15522.
Thus, GCF of Fractions is 36/15522.Finally, GCF of Fractions for 8568/78, 5148/199 is 36/15522.