Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/844,7114/189
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 734,7114
Greatest Common Factor of Numerators i.e. GCF of 734,7114 is 2 .
LCM of Denominators means LCM of 844,189 as per the given fractions.
LCM of 844,189 is 159516 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 734,7114
2 | 734, 7114 |
367, 3557 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 7114
List of positive integer factors of 7114 that divides 7114 without a remainder.
1,2,3557,7114
Greatest Common Factor
We found the factors 734,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 734,7114 is 2.
Lets's calculate LCM of 844,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 159516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159516
Therefore, the GCF of Fractions 734/844,7114/189 is 2/159516
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 844,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,189) x common factors =1 x 1 = 1
LCM(844,189) = ( 844 × 189 ) / 1
LCM(844,189) = 159516 / 1
LCM(844,189) = 159516
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 734/844, 7114/189?
Answer: GCF of Numerators as per given numbers 734/844, 7114/189 is
GCF of Numerators i.e. for 734,7114 is 2
LCM of denominators i.e. for 844,189 is 159516.
Thus, GCF of Fractions is 2/159516.Finally, GCF of Fractions for 734/844, 7114/189 is 2/159516.