Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6192/64,8283/951
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 6192,8283
Greatest Common Factor of Numerators i.e. GCF of 6192,8283 is 3 .
LCM of Denominators means LCM of 64,951 as per the given fractions.
LCM of 64,951 is 60864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6192,8283
3 | 6192, 8283 |
2064, 2761 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6192
List of positive integer factors of 6192 that divides 6192 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192
Factors of 8283
List of positive integer factors of 8283 that divides 8283 without a remainder.
1,3,11,33,251,753,2761,8283
Greatest Common Factor
We found the factors 6192,8283 . The biggest common factor number is the GCF number.
So the greatest common factor 6192,8283 is 3.
Lets's calculate LCM of 64,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 60864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60864
Therefore, the GCF of Fractions 6192/64,8283/951 is 3/60864
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 64,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,951) x common factors =1 x 1 = 1
LCM(64,951) = ( 64 × 951 ) / 1
LCM(64,951) = 60864 / 1
LCM(64,951) = 60864
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 6192/64, 8283/951?
Answer: GCF of Numerators as per given numbers 6192/64, 8283/951 is
GCF of Numerators i.e. for 6192,8283 is 3
LCM of denominators i.e. for 64,951 is 60864.
Thus, GCF of Fractions is 3/60864.Finally, GCF of Fractions for 6192/64, 8283/951 is 3/60864.