Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/478,9571/3250
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 764,9571
Greatest Common Factor of Numerators i.e. GCF of 764,9571 is 1 .
LCM of Denominators means LCM of 478,3250 as per the given fractions.
LCM of 478,3250 is 776750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,9571
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 9571
List of positive integer factors of 9571 that divides 9571 without a remainder.
1,17,563,9571
Greatest Common Factor
We found the factors 764,9571 . The biggest common factor number is the GCF number.
So the greatest common factor 764,9571 is 1.
Lets's calculate LCM of 478,3250
2 | 478, 3250 |
239, 1625 |
∴ So the LCM of the given numbers is 2 x 239 x 1625 = 776750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/776750
Therefore, the GCF of Fractions 764/478,9571/3250 is 1/776750
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 478,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,3250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,3250) x common factors =2 x 1 = 2
LCM(478,3250) = ( 478 × 3250 ) / 2
LCM(478,3250) = 1553500 / 2
LCM(478,3250) = 776750
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 764/478, 9571/3250?
Answer: GCF of Numerators as per given numbers 764/478, 9571/3250 is
GCF of Numerators i.e. for 764,9571 is 1
LCM of denominators i.e. for 478,3250 is 776750.
Thus, GCF of Fractions is 1/776750.Finally, GCF of Fractions for 764/478, 9571/3250 is 1/776750.