Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 929/28,534/64,401/609
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 929,534,401
Greatest Common Factor of Numerators i.e. GCF of 929,534,401 is 1 .
LCM of Denominators means LCM of 28,64,609 as per the given fractions.
LCM of 28,64,609 is 38976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 929,534,401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Greatest Common Factor
We found the factors 929,534,401 . The biggest common factor number is the GCF number.
So the greatest common factor 929,534,401 is 1.
Lets's calculate LCM of 28,64,609
2 | 28, 64, 609 |
2 | 14, 32, 609 |
7 | 7, 16, 609 |
1, 16, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 16 x 87 = 38976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38976
Therefore, the GCF of Fractions 929/28,534/64,401/609 is 1/38976
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 28,64,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,64,609) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(28,64,609) x common factors =1 x 28 = 28
LCM(28,64,609) = ( 28 × 64 × 609 ) / 28
LCM(28,64,609) = 1091328 / 28
LCM(28,64,609) = 38976
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 929/28, 534/64, 401/609?
Answer: GCF of Numerators as per given numbers 929/28, 534/64, 401/609 is
GCF of Numerators i.e. for 929,534,401 is 1
LCM of denominators i.e. for 28,64,609 is 38976.
Thus, GCF of Fractions is 1/38976.Finally, GCF of Fractions for 929/28, 534/64, 401/609 is 1/38976.