Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/211,1065/235
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 747,1065
Greatest Common Factor of Numerators i.e. GCF of 747,1065 is 3 .
LCM of Denominators means LCM of 211,235 as per the given fractions.
LCM of 211,235 is 49585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,1065
3 | 747, 1065 |
249, 355 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 1065
List of positive integer factors of 1065 that divides 1065 without a remainder.
1,3,5,15,71,213,355,1065
Greatest Common Factor
We found the factors 747,1065 . The biggest common factor number is the GCF number.
So the greatest common factor 747,1065 is 3.
Lets's calculate LCM of 211,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 49585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49585
Therefore, the GCF of Fractions 747/211,1065/235 is 3/49585
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 211,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,235) x common factors =1 x 1 = 1
LCM(211,235) = ( 211 × 235 ) / 1
LCM(211,235) = 49585 / 1
LCM(211,235) = 49585
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 747/211, 1065/235?
Answer: GCF of Numerators as per given numbers 747/211, 1065/235 is
GCF of Numerators i.e. for 747,1065 is 3
LCM of denominators i.e. for 211,235 is 49585.
Thus, GCF of Fractions is 3/49585.Finally, GCF of Fractions for 747/211, 1065/235 is 3/49585.