Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/579,442/497,930/515
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 52,442,930
Greatest Common Factor of Numerators i.e. GCF of 52,442,930 is 2 .
LCM of Denominators means LCM of 579,497,515 as per the given fractions.
LCM of 579,497,515 is 148197945 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,442,930
2 | 52, 442, 930 |
26, 221, 465 |
∴ 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 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 52,442,930 . The biggest common factor number is the GCF number.
So the greatest common factor 52,442,930 is 2.
Lets's calculate LCM of 579,497,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 148197945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148197945
Therefore, the GCF of Fractions 52/579,442/497,930/515 is 2/148197945
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 579,497,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,497,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,497,515) x common factors =1 x 1 = 1
LCM(579,497,515) = ( 579 × 497 × 515 ) / 1
LCM(579,497,515) = 148197945 / 1
LCM(579,497,515) = 148197945
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 52/579, 442/497, 930/515?
Answer: GCF of Numerators as per given numbers 52/579, 442/497, 930/515 is
GCF of Numerators i.e. for 52,442,930 is 2
LCM of denominators i.e. for 579,497,515 is 148197945.
Thus, GCF of Fractions is 2/148197945.Finally, GCF of Fractions for 52/579, 442/497, 930/515 is 2/148197945.