Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4855/677,8982/1124
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 4855,8982
Greatest Common Factor of Numerators i.e. GCF of 4855,8982 is 1 .
LCM of Denominators means LCM of 677,1124 as per the given fractions.
LCM of 677,1124 is 760948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4855,8982
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4855
List of positive integer factors of 4855 that divides 4855 without a remainder.
1,5,971,4855
Factors of 8982
List of positive integer factors of 8982 that divides 8982 without a remainder.
1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 4855,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 4855,8982 is 1.
Lets's calculate LCM of 677,1124
Given numbers has no common factors except 1. So, there LCM is their product i.e 760948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760948
Therefore, the GCF of Fractions 4855/677,8982/1124 is 1/760948
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 677,1124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,1124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,1124) x common factors =1 x 1 = 1
LCM(677,1124) = ( 677 × 1124 ) / 1
LCM(677,1124) = 760948 / 1
LCM(677,1124) = 760948
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 4855/677, 8982/1124?
Answer: GCF of Numerators as per given numbers 4855/677, 8982/1124 is
GCF of Numerators i.e. for 4855,8982 is 1
LCM of denominators i.e. for 677,1124 is 760948.
Thus, GCF of Fractions is 1/760948.Finally, GCF of Fractions for 4855/677, 8982/1124 is 1/760948.