Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2656/568,9132/783
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 2656,9132
Greatest Common Factor of Numerators i.e. GCF of 2656,9132 is 4 .
LCM of Denominators means LCM of 568,783 as per the given fractions.
LCM of 568,783 is 444744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2656,9132
2 | 2656, 9132 |
2 | 1328, 4566 |
664, 2283 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2656
List of positive integer factors of 2656 that divides 2656 without a remainder.
1,2,4,8,16,32,83,166,332,664,1328,2656
Factors of 9132
List of positive integer factors of 9132 that divides 9132 without a remainder.
1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Greatest Common Factor
We found the factors 2656,9132 . The biggest common factor number is the GCF number.
So the greatest common factor 2656,9132 is 4.
Lets's calculate LCM of 568,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 444744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/444744
Therefore, the GCF of Fractions 2656/568,9132/783 is 4/444744
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 568,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,783) x common factors =1 x 1 = 1
LCM(568,783) = ( 568 × 783 ) / 1
LCM(568,783) = 444744 / 1
LCM(568,783) = 444744
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 2656/568, 9132/783?
Answer: GCF of Numerators as per given numbers 2656/568, 9132/783 is
GCF of Numerators i.e. for 2656,9132 is 4
LCM of denominators i.e. for 568,783 is 444744.
Thus, GCF of Fractions is 4/444744.Finally, GCF of Fractions for 2656/568, 9132/783 is 4/444744.