Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8530/761,8116/8133
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 8530,8116
Greatest Common Factor of Numerators i.e. GCF of 8530,8116 is 2 .
LCM of Denominators means LCM of 761,8133 as per the given fractions.
LCM of 761,8133 is 6189213 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8530,8116
2 | 8530, 8116 |
4265, 4058 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8530
List of positive integer factors of 8530 that divides 8530 without a remainder.
1,2,5,10,853,1706,4265,8530
Factors of 8116
List of positive integer factors of 8116 that divides 8116 without a remainder.
1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 8530,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 8530,8116 is 2.
Lets's calculate LCM of 761,8133
Given numbers has no common factors except 1. So, there LCM is their product i.e 6189213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6189213
Therefore, the GCF of Fractions 8530/761,8116/8133 is 2/6189213
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 761,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,8133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,8133) x common factors =1 x 1 = 1
LCM(761,8133) = ( 761 × 8133 ) / 1
LCM(761,8133) = 6189213 / 1
LCM(761,8133) = 6189213
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 8530/761, 8116/8133?
Answer: GCF of Numerators as per given numbers 8530/761, 8116/8133 is
GCF of Numerators i.e. for 8530,8116 is 2
LCM of denominators i.e. for 761,8133 is 6189213.
Thus, GCF of Fractions is 2/6189213.Finally, GCF of Fractions for 8530/761, 8116/8133 is 2/6189213.