Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 644/720,7914/700
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 644,7914
Greatest Common Factor of Numerators i.e. GCF of 644,7914 is 2 .
LCM of Denominators means LCM of 720,700 as per the given fractions.
LCM of 720,700 is 25200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 644,7914
2 | 644, 7914 |
322, 3957 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 7914
List of positive integer factors of 7914 that divides 7914 without a remainder.
1,2,3,6,1319,2638,3957,7914
Greatest Common Factor
We found the factors 644,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 644,7914 is 2.
Lets's calculate LCM of 720,700
2 | 720, 700 |
2 | 360, 350 |
5 | 180, 175 |
36, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 36 x 35 = 25200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25200
Therefore, the GCF of Fractions 644/720,7914/700 is 2/25200
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 720,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,700) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(720,700) x common factors =20 x 1 = 20
LCM(720,700) = ( 720 × 700 ) / 20
LCM(720,700) = 504000 / 20
LCM(720,700) = 25200
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 644/720, 7914/700?
Answer: GCF of Numerators as per given numbers 644/720, 7914/700 is
GCF of Numerators i.e. for 644,7914 is 2
LCM of denominators i.e. for 720,700 is 25200.
Thus, GCF of Fractions is 2/25200.Finally, GCF of Fractions for 644/720, 7914/700 is 2/25200.