Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1477/878,3077/7056
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 1477,3077
Greatest Common Factor of Numerators i.e. GCF of 1477,3077 is 1 .
LCM of Denominators means LCM of 878,7056 as per the given fractions.
LCM of 878,7056 is 3097584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1477,3077
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1477
List of positive integer factors of 1477 that divides 1477 without a remainder.
1,7,211,1477
Factors of 3077
List of positive integer factors of 3077 that divides 3077 without a remainder.
1,17,181,3077
Greatest Common Factor
We found the factors 1477,3077 . The biggest common factor number is the GCF number.
So the greatest common factor 1477,3077 is 1.
Lets's calculate LCM of 878,7056
2 | 878, 7056 |
439, 3528 |
∴ So the LCM of the given numbers is 2 x 439 x 3528 = 3097584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3097584
Therefore, the GCF of Fractions 1477/878,3077/7056 is 1/3097584
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 878,7056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,7056) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,7056) x common factors =2 x 1 = 2
LCM(878,7056) = ( 878 × 7056 ) / 2
LCM(878,7056) = 6195168 / 2
LCM(878,7056) = 3097584
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 1477/878, 3077/7056?
Answer: GCF of Numerators as per given numbers 1477/878, 3077/7056 is
GCF of Numerators i.e. for 1477,3077 is 1
LCM of denominators i.e. for 878,7056 is 3097584.
Thus, GCF of Fractions is 1/3097584.Finally, GCF of Fractions for 1477/878, 3077/7056 is 1/3097584.