Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9853/547,1135/5451
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 9853,1135
Greatest Common Factor of Numerators i.e. GCF of 9853,1135 is 1 .
LCM of Denominators means LCM of 547,5451 as per the given fractions.
LCM of 547,5451 is 2981697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9853,1135
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1,59,167,9853
Factors of 1135
List of positive integer factors of 1135 that divides 1135 without a remainder.
1,5,227,1135
Greatest Common Factor
We found the factors 9853,1135 . The biggest common factor number is the GCF number.
So the greatest common factor 9853,1135 is 1.
Lets's calculate LCM of 547,5451
Given numbers has no common factors except 1. So, there LCM is their product i.e 2981697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2981697
Therefore, the GCF of Fractions 9853/547,1135/5451 is 1/2981697
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 547,5451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,5451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,5451) x common factors =1 x 1 = 1
LCM(547,5451) = ( 547 × 5451 ) / 1
LCM(547,5451) = 2981697 / 1
LCM(547,5451) = 2981697
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 9853/547, 1135/5451?
Answer: GCF of Numerators as per given numbers 9853/547, 1135/5451 is
GCF of Numerators i.e. for 9853,1135 is 1
LCM of denominators i.e. for 547,5451 is 2981697.
Thus, GCF of Fractions is 1/2981697.Finally, GCF of Fractions for 9853/547, 1135/5451 is 1/2981697.