Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/39,676/975
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 983,676
Greatest Common Factor of Numerators i.e. GCF of 983,676 is 1 .
LCM of Denominators means LCM of 39,975 as per the given fractions.
LCM of 39,975 is 975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 983,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 983,676 . The biggest common factor number is the GCF number.
So the greatest common factor 983,676 is 1.
Lets's calculate LCM of 39,975
3 | 39, 975 |
13 | 13, 325 |
1, 25 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 25 = 975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975
Therefore, the GCF of Fractions 983/39,676/975 is 1/975
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 39,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,975) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(39,975) x common factors =39 x 1 = 39
LCM(39,975) = ( 39 × 975 ) / 39
LCM(39,975) = 38025 / 39
LCM(39,975) = 975
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 983/39, 676/975?
Answer: GCF of Numerators as per given numbers 983/39, 676/975 is
GCF of Numerators i.e. for 983,676 is 1
LCM of denominators i.e. for 39,975 is 975.
Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 983/39, 676/975 is 1/975.