Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9778/165,2561/568
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 9778,2561
Greatest Common Factor of Numerators i.e. GCF of 9778,2561 is 1 .
LCM of Denominators means LCM of 165,568 as per the given fractions.
LCM of 165,568 is 93720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9778,2561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9778
List of positive integer factors of 9778 that divides 9778 without a remainder.
1,2,4889,9778
Factors of 2561
List of positive integer factors of 2561 that divides 2561 without a remainder.
1,13,197,2561
Greatest Common Factor
We found the factors 9778,2561 . The biggest common factor number is the GCF number.
So the greatest common factor 9778,2561 is 1.
Lets's calculate LCM of 165,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 93720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93720
Therefore, the GCF of Fractions 9778/165,2561/568 is 1/93720
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 165,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,568) x common factors =1 x 1 = 1
LCM(165,568) = ( 165 × 568 ) / 1
LCM(165,568) = 93720 / 1
LCM(165,568) = 93720
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 9778/165, 2561/568?
Answer: GCF of Numerators as per given numbers 9778/165, 2561/568 is
GCF of Numerators i.e. for 9778,2561 is 1
LCM of denominators i.e. for 165,568 is 93720.
Thus, GCF of Fractions is 1/93720.Finally, GCF of Fractions for 9778/165, 2561/568 is 1/93720.