Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8525/772,9329/980
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 8525,9329
Greatest Common Factor of Numerators i.e. GCF of 8525,9329 is 1 .
LCM of Denominators means LCM of 772,980 as per the given fractions.
LCM of 772,980 is 189140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8525,9329
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8525
List of positive integer factors of 8525 that divides 8525 without a remainder.
1,5,11,25,31,55,155,275,341,775,1705,8525
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1,19,491,9329
Greatest Common Factor
We found the factors 8525,9329 . The biggest common factor number is the GCF number.
So the greatest common factor 8525,9329 is 1.
Lets's calculate LCM of 772,980
2 | 772, 980 |
2 | 386, 490 |
193, 245 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 245 = 189140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189140
Therefore, the GCF of Fractions 8525/772,9329/980 is 1/189140
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 772,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,980) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,980) x common factors =4 x 1 = 4
LCM(772,980) = ( 772 × 980 ) / 4
LCM(772,980) = 756560 / 4
LCM(772,980) = 189140
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 8525/772, 9329/980?
Answer: GCF of Numerators as per given numbers 8525/772, 9329/980 is
GCF of Numerators i.e. for 8525,9329 is 1
LCM of denominators i.e. for 772,980 is 189140.
Thus, GCF of Fractions is 1/189140.Finally, GCF of Fractions for 8525/772, 9329/980 is 1/189140.