Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3222/92,6255/516
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 3222,6255
Greatest Common Factor of Numerators i.e. GCF of 3222,6255 is 9 .
LCM of Denominators means LCM of 92,516 as per the given fractions.
LCM of 92,516 is 11868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3222,6255
3 | 3222, 6255 |
3 | 1074, 2085 |
358, 695 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 3222
List of positive integer factors of 3222 that divides 3222 without a remainder.
1,2,3,6,9,18,179,358,537,1074,1611,3222
Factors of 6255
List of positive integer factors of 6255 that divides 6255 without a remainder.
1,3,5,9,15,45,139,417,695,1251,2085,6255
Greatest Common Factor
We found the factors 3222,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 3222,6255 is 9.
Lets's calculate LCM of 92,516
2 | 92, 516 |
2 | 46, 258 |
23, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 129 = 11868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/11868
Therefore, the GCF of Fractions 3222/92,6255/516 is 9/11868
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 92,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,516) x common factors =4 x 1 = 4
LCM(92,516) = ( 92 × 516 ) / 4
LCM(92,516) = 47472 / 4
LCM(92,516) = 11868
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 3222/92, 6255/516?
Answer: GCF of Numerators as per given numbers 3222/92, 6255/516 is
GCF of Numerators i.e. for 3222,6255 is 9
LCM of denominators i.e. for 92,516 is 11868.
Thus, GCF of Fractions is 9/11868.Finally, GCF of Fractions for 3222/92, 6255/516 is 9/11868.