Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/170,6521/978
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 965,6521
Greatest Common Factor of Numerators i.e. GCF of 965,6521 is 1 .
LCM of Denominators means LCM of 170,978 as per the given fractions.
LCM of 170,978 is 83130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,6521
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 6521
List of positive integer factors of 6521 that divides 6521 without a remainder.
1,6521
Greatest Common Factor
We found the factors 965,6521 . The biggest common factor number is the GCF number.
So the greatest common factor 965,6521 is 1.
Lets's calculate LCM of 170,978
2 | 170, 978 |
85, 489 |
∴ So the LCM of the given numbers is 2 x 85 x 489 = 83130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83130
Therefore, the GCF of Fractions 965/170,6521/978 is 1/83130
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 170,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,978) x common factors =2 x 1 = 2
LCM(170,978) = ( 170 × 978 ) / 2
LCM(170,978) = 166260 / 2
LCM(170,978) = 83130
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 965/170, 6521/978?
Answer: GCF of Numerators as per given numbers 965/170, 6521/978 is
GCF of Numerators i.e. for 965,6521 is 1
LCM of denominators i.e. for 170,978 is 83130.
Thus, GCF of Fractions is 1/83130.Finally, GCF of Fractions for 965/170, 6521/978 is 1/83130.