Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/764,561/488
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 307,561
Greatest Common Factor of Numerators i.e. GCF of 307,561 is 1 .
LCM of Denominators means LCM of 764,488 as per the given fractions.
LCM of 764,488 is 93208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 307,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 307,561 . The biggest common factor number is the GCF number.
So the greatest common factor 307,561 is 1.
Lets's calculate LCM of 764,488
2 | 764, 488 |
2 | 382, 244 |
191, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 122 = 93208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93208
Therefore, the GCF of Fractions 307/764,561/488 is 1/93208
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 764,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,488) x common factors =4 x 1 = 4
LCM(764,488) = ( 764 × 488 ) / 4
LCM(764,488) = 372832 / 4
LCM(764,488) = 93208
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 307/764, 561/488?
Answer: GCF of Numerators as per given numbers 307/764, 561/488 is
GCF of Numerators i.e. for 307,561 is 1
LCM of denominators i.e. for 764,488 is 93208.
Thus, GCF of Fractions is 1/93208.Finally, GCF of Fractions for 307/764, 561/488 is 1/93208.