Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4424/774,1528/7856
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 4424,1528
Greatest Common Factor of Numerators i.e. GCF of 4424,1528 is 8 .
LCM of Denominators means LCM of 774,7856 as per the given fractions.
LCM of 774,7856 is 3040272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4424,1528
2 | 4424, 1528 |
2 | 2212, 764 |
2 | 1106, 382 |
553, 191 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 4424
List of positive integer factors of 4424 that divides 4424 without a remainder.
1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Factors of 1528
List of positive integer factors of 1528 that divides 1528 without a remainder.
1,2,4,8,191,382,764,1528
Greatest Common Factor
We found the factors 4424,1528 . The biggest common factor number is the GCF number.
So the greatest common factor 4424,1528 is 8.
Lets's calculate LCM of 774,7856
2 | 774, 7856 |
387, 3928 |
∴ So the LCM of the given numbers is 2 x 387 x 3928 = 3040272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3040272
Therefore, the GCF of Fractions 4424/774,1528/7856 is 8/3040272
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 774,7856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,7856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,7856) x common factors =2 x 1 = 2
LCM(774,7856) = ( 774 × 7856 ) / 2
LCM(774,7856) = 6080544 / 2
LCM(774,7856) = 3040272
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 4424/774, 1528/7856?
Answer: GCF of Numerators as per given numbers 4424/774, 1528/7856 is
GCF of Numerators i.e. for 4424,1528 is 8
LCM of denominators i.e. for 774,7856 is 3040272.
Thus, GCF of Fractions is 8/3040272.Finally, GCF of Fractions for 4424/774, 1528/7856 is 8/3040272.