Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/749,266/666
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 49,266
Greatest Common Factor of Numerators i.e. GCF of 49,266 is 7 .
LCM of Denominators means LCM of 749,666 as per the given fractions.
LCM of 749,666 is 498834 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,266
7 | 49, 266 |
7, 38 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 49,266 . The biggest common factor number is the GCF number.
So the greatest common factor 49,266 is 7.
Lets's calculate LCM of 749,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 498834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/498834
Therefore, the GCF of Fractions 49/749,266/666 is 7/498834
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 749,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,666) x common factors =1 x 1 = 1
LCM(749,666) = ( 749 × 666 ) / 1
LCM(749,666) = 498834 / 1
LCM(749,666) = 498834
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 49/749, 266/666?
Answer: GCF of Numerators as per given numbers 49/749, 266/666 is
GCF of Numerators i.e. for 49,266 is 7
LCM of denominators i.e. for 749,666 is 498834.
Thus, GCF of Fractions is 7/498834.Finally, GCF of Fractions for 49/749, 266/666 is 7/498834.