Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 572/665,8802/799
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 572,8802
Greatest Common Factor of Numerators i.e. GCF of 572,8802 is 2 .
LCM of Denominators means LCM of 665,799 as per the given fractions.
LCM of 665,799 is 531335 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 572,8802
2 | 572, 8802 |
286, 4401 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 8802
List of positive integer factors of 8802 that divides 8802 without a remainder.
1,2,3,6,9,18,27,54,163,326,489,978,1467,2934,4401,8802
Greatest Common Factor
We found the factors 572,8802 . The biggest common factor number is the GCF number.
So the greatest common factor 572,8802 is 2.
Lets's calculate LCM of 665,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 531335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531335
Therefore, the GCF of Fractions 572/665,8802/799 is 2/531335
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 665,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,799) x common factors =1 x 1 = 1
LCM(665,799) = ( 665 × 799 ) / 1
LCM(665,799) = 531335 / 1
LCM(665,799) = 531335
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 572/665, 8802/799?
Answer: GCF of Numerators as per given numbers 572/665, 8802/799 is
GCF of Numerators i.e. for 572,8802 is 2
LCM of denominators i.e. for 665,799 is 531335.
Thus, GCF of Fractions is 2/531335.Finally, GCF of Fractions for 572/665, 8802/799 is 2/531335.