Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 652/663,542/624,168/104
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 652,542,168
Greatest Common Factor of Numerators i.e. GCF of 652,542,168 is 2 .
LCM of Denominators means LCM of 663,624,104 as per the given fractions.
LCM of 663,624,104 is 10608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 652,542,168
2 | 652, 542, 168 |
326, 271, 84 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 652,542,168 . The biggest common factor number is the GCF number.
So the greatest common factor 652,542,168 is 2.
Lets's calculate LCM of 663,624,104
2 | 663, 624, 104 |
2 | 663, 312, 52 |
2 | 663, 156, 26 |
3 | 663, 78, 13 |
13 | 221, 26, 13 |
17, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 17 x 2 x 1 = 10608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10608
Therefore, the GCF of Fractions 652/663,542/624,168/104 is 2/10608
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 663,624,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,624,104) = 13
common factors(in case of two or more numbers have common factors) = 312
GCF(663,624,104) x common factors =13 x 312 = 4056
LCM(663,624,104) = ( 663 × 624 × 104 ) / 4056
LCM(663,624,104) = 43026048 / 4056
LCM(663,624,104) = 10608
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 652/663, 542/624, 168/104?
Answer: GCF of Numerators as per given numbers 652/663, 542/624, 168/104 is
GCF of Numerators i.e. for 652,542,168 is 2
LCM of denominators i.e. for 663,624,104 is 10608.
Thus, GCF of Fractions is 2/10608.Finally, GCF of Fractions for 652/663, 542/624, 168/104 is 2/10608.