Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 471/322,628/875
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 471,628
Greatest Common Factor of Numerators i.e. GCF of 471,628 is 157 .
LCM of Denominators means LCM of 322,875 as per the given fractions.
LCM of 322,875 is 40250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 471,628
157 | 471, 628 |
3, 4 |
∴ So the GCF of the given numbers is 157 = 157
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 471,628 . The biggest common factor number is the GCF number.
So the greatest common factor 471,628 is 157.
Lets's calculate LCM of 322,875
7 | 322, 875 |
46, 125 |
∴ So the LCM of the given numbers is 7 x 46 x 125 = 40250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 157/40250
Therefore, the GCF of Fractions 471/322,628/875 is 157/40250
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 322,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,875) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(322,875) x common factors =7 x 1 = 7
LCM(322,875) = ( 322 × 875 ) / 7
LCM(322,875) = 281750 / 7
LCM(322,875) = 40250
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 471/322, 628/875?
Answer: GCF of Numerators as per given numbers 471/322, 628/875 is
GCF of Numerators i.e. for 471,628 is 157
LCM of denominators i.e. for 322,875 is 40250.
Thus, GCF of Fractions is 157/40250.Finally, GCF of Fractions for 471/322, 628/875 is 157/40250.