Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 138/65,554/9801
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 138,554
Greatest Common Factor of Numerators i.e. GCF of 138,554 is 2 .
LCM of Denominators means LCM of 65,9801 as per the given fractions.
LCM of 65,9801 is 637065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 138,554
2 | 138, 554 |
69, 277 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 138,554 . The biggest common factor number is the GCF number.
So the greatest common factor 138,554 is 2.
Lets's calculate LCM of 65,9801
Given numbers has no common factors except 1. So, there LCM is their product i.e 637065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/637065
Therefore, the GCF of Fractions 138/65,554/9801 is 2/637065
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 65,9801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,9801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,9801) x common factors =1 x 1 = 1
LCM(65,9801) = ( 65 × 9801 ) / 1
LCM(65,9801) = 637065 / 1
LCM(65,9801) = 637065
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 138/65, 554/9801?
Answer: GCF of Numerators as per given numbers 138/65, 554/9801 is
GCF of Numerators i.e. for 138,554 is 2
LCM of denominators i.e. for 65,9801 is 637065.
Thus, GCF of Fractions is 2/637065.Finally, GCF of Fractions for 138/65, 554/9801 is 2/637065.