Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/568,902/773,380/823
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 52,902,380
Greatest Common Factor of Numerators i.e. GCF of 52,902,380 is 2 .
LCM of Denominators means LCM of 568,773,823 as per the given fractions.
LCM of 568,773,823 is 361349672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,902,380
2 | 52, 902, 380 |
26, 451, 190 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 52,902,380 . The biggest common factor number is the GCF number.
So the greatest common factor 52,902,380 is 2.
Lets's calculate LCM of 568,773,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 361349672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/361349672
Therefore, the GCF of Fractions 52/568,902/773,380/823 is 2/361349672
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 568,773,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,773,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,773,823) x common factors =1 x 1 = 1
LCM(568,773,823) = ( 568 × 773 × 823 ) / 1
LCM(568,773,823) = 361349672 / 1
LCM(568,773,823) = 361349672
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 52/568, 902/773, 380/823?
Answer: GCF of Numerators as per given numbers 52/568, 902/773, 380/823 is
GCF of Numerators i.e. for 52,902,380 is 2
LCM of denominators i.e. for 568,773,823 is 361349672.
Thus, GCF of Fractions is 2/361349672.Finally, GCF of Fractions for 52/568, 902/773, 380/823 is 2/361349672.