Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8548/451,8332/8116
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 8548,8332
Greatest Common Factor of Numerators i.e. GCF of 8548,8332 is 4 .
LCM of Denominators means LCM of 451,8116 as per the given fractions.
LCM of 451,8116 is 3660316 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8548,8332
2 | 8548, 8332 |
2 | 4274, 4166 |
2137, 2083 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8548
List of positive integer factors of 8548 that divides 8548 without a remainder.
1,2,4,2137,4274,8548
Factors of 8332
List of positive integer factors of 8332 that divides 8332 without a remainder.
1,2,4,2083,4166,8332
Greatest Common Factor
We found the factors 8548,8332 . The biggest common factor number is the GCF number.
So the greatest common factor 8548,8332 is 4.
Lets's calculate LCM of 451,8116
Given numbers has no common factors except 1. So, there LCM is their product i.e 3660316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3660316
Therefore, the GCF of Fractions 8548/451,8332/8116 is 4/3660316
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 451,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,8116) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,8116) x common factors =1 x 1 = 1
LCM(451,8116) = ( 451 × 8116 ) / 1
LCM(451,8116) = 3660316 / 1
LCM(451,8116) = 3660316
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 8548/451, 8332/8116?
Answer: GCF of Numerators as per given numbers 8548/451, 8332/8116 is
GCF of Numerators i.e. for 8548,8332 is 4
LCM of denominators i.e. for 451,8116 is 3660316.
Thus, GCF of Fractions is 4/3660316.Finally, GCF of Fractions for 8548/451, 8332/8116 is 4/3660316.