Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/105,624/155,845/299
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 52,624,845
Greatest Common Factor of Numerators i.e. GCF of 52,624,845 is 13 .
LCM of Denominators means LCM of 105,155,299 as per the given fractions.
LCM of 105,155,299 is 973245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,624,845
13 | 52, 624, 845 |
4, 48, 65 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 52,624,845 . The biggest common factor number is the GCF number.
So the greatest common factor 52,624,845 is 13.
Lets's calculate LCM of 105,155,299
5 | 105, 155, 299 |
21, 31, 299 |
∴ So the LCM of the given numbers is 5 x 21 x 31 x 299 = 973245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/973245
Therefore, the GCF of Fractions 52/105,624/155,845/299 is 13/973245
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 105,155,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,155,299) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(105,155,299) x common factors =1 x 5 = 5
LCM(105,155,299) = ( 105 × 155 × 299 ) / 5
LCM(105,155,299) = 4866225 / 5
LCM(105,155,299) = 973245
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 52/105, 624/155, 845/299?
Answer: GCF of Numerators as per given numbers 52/105, 624/155, 845/299 is
GCF of Numerators i.e. for 52,624,845 is 13
LCM of denominators i.e. for 105,155,299 is 973245.
Thus, GCF of Fractions is 13/973245.Finally, GCF of Fractions for 52/105, 624/155, 845/299 is 13/973245.