Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 985/276,9140/7999
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 985,9140
Greatest Common Factor of Numerators i.e. GCF of 985,9140 is 5 .
LCM of Denominators means LCM of 276,7999 as per the given fractions.
LCM of 276,7999 is 2207724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 985,9140
5 | 985, 9140 |
197, 1828 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 9140
List of positive integer factors of 9140 that divides 9140 without a remainder.
1,2,4,5,10,20,457,914,1828,2285,4570,9140
Greatest Common Factor
We found the factors 985,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 985,9140 is 5.
Lets's calculate LCM of 276,7999
Given numbers has no common factors except 1. So, there LCM is their product i.e 2207724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2207724
Therefore, the GCF of Fractions 985/276,9140/7999 is 5/2207724
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 276,7999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,7999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,7999) x common factors =1 x 1 = 1
LCM(276,7999) = ( 276 × 7999 ) / 1
LCM(276,7999) = 2207724 / 1
LCM(276,7999) = 2207724
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 985/276, 9140/7999?
Answer: GCF of Numerators as per given numbers 985/276, 9140/7999 is
GCF of Numerators i.e. for 985,9140 is 5
LCM of denominators i.e. for 276,7999 is 2207724.
Thus, GCF of Fractions is 5/2207724.Finally, GCF of Fractions for 985/276, 9140/7999 is 5/2207724.