Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/586,8848/949
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 764,8848
Greatest Common Factor of Numerators i.e. GCF of 764,8848 is 4 .
LCM of Denominators means LCM of 586,949 as per the given fractions.
LCM of 586,949 is 556114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,8848
2 | 764, 8848 |
2 | 382, 4424 |
191, 2212 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 8848
List of positive integer factors of 8848 that divides 8848 without a remainder.
1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Greatest Common Factor
We found the factors 764,8848 . The biggest common factor number is the GCF number.
So the greatest common factor 764,8848 is 4.
Lets's calculate LCM of 586,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 556114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/556114
Therefore, the GCF of Fractions 764/586,8848/949 is 4/556114
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 586,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,949) x common factors =1 x 1 = 1
LCM(586,949) = ( 586 × 949 ) / 1
LCM(586,949) = 556114 / 1
LCM(586,949) = 556114
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 764/586, 8848/949?
Answer: GCF of Numerators as per given numbers 764/586, 8848/949 is
GCF of Numerators i.e. for 764,8848 is 4
LCM of denominators i.e. for 586,949 is 556114.
Thus, GCF of Fractions is 4/556114.Finally, GCF of Fractions for 764/586, 8848/949 is 4/556114.