Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/372,948/941,798/352
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 516,948,798
Greatest Common Factor of Numerators i.e. GCF of 516,948,798 is 6 .
LCM of Denominators means LCM of 372,941,352 as per the given fractions.
LCM of 372,941,352 is 30804576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,948,798
2 | 516, 948, 798 |
3 | 258, 474, 399 |
86, 158, 133 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 516,948,798 . The biggest common factor number is the GCF number.
So the greatest common factor 516,948,798 is 6.
Lets's calculate LCM of 372,941,352
2 | 372, 941, 352 |
2 | 186, 941, 176 |
93, 941, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 941 x 88 = 30804576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/30804576
Therefore, the GCF of Fractions 516/372,948/941,798/352 is 6/30804576
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 372,941,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,941,352) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(372,941,352) x common factors =1 x 4 = 4
LCM(372,941,352) = ( 372 × 941 × 352 ) / 4
LCM(372,941,352) = 123218304 / 4
LCM(372,941,352) = 30804576
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 516/372, 948/941, 798/352?
Answer: GCF of Numerators as per given numbers 516/372, 948/941, 798/352 is
GCF of Numerators i.e. for 516,948,798 is 6
LCM of denominators i.e. for 372,941,352 is 30804576.
Thus, GCF of Fractions is 6/30804576.Finally, GCF of Fractions for 516/372, 948/941, 798/352 is 6/30804576.