Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 567/54,896/3515
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 567,896
Greatest Common Factor of Numerators i.e. GCF of 567,896 is 7 .
LCM of Denominators means LCM of 54,3515 as per the given fractions.
LCM of 54,3515 is 189810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 567,896
7 | 567, 896 |
81, 128 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 567,896 . The biggest common factor number is the GCF number.
So the greatest common factor 567,896 is 7.
Lets's calculate LCM of 54,3515
Given numbers has no common factors except 1. So, there LCM is their product i.e 189810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/189810
Therefore, the GCF of Fractions 567/54,896/3515 is 7/189810
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 54,3515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,3515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,3515) x common factors =1 x 1 = 1
LCM(54,3515) = ( 54 × 3515 ) / 1
LCM(54,3515) = 189810 / 1
LCM(54,3515) = 189810
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 567/54, 896/3515?
Answer: GCF of Numerators as per given numbers 567/54, 896/3515 is
GCF of Numerators i.e. for 567,896 is 7
LCM of denominators i.e. for 54,3515 is 189810.
Thus, GCF of Fractions is 7/189810.Finally, GCF of Fractions for 567/54, 896/3515 is 7/189810.