Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/71,27/65,628/909
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 98,27,628
Greatest Common Factor of Numerators i.e. GCF of 98,27,628 is 1 .
LCM of Denominators means LCM of 71,65,909 as per the given fractions.
LCM of 71,65,909 is 4195035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,27,628
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 98,27,628 . The biggest common factor number is the GCF number.
So the greatest common factor 98,27,628 is 1.
Lets's calculate LCM of 71,65,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 4195035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4195035
Therefore, the GCF of Fractions 98/71,27/65,628/909 is 1/4195035
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 71,65,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,65,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,65,909) x common factors =1 x 1 = 1
LCM(71,65,909) = ( 71 × 65 × 909 ) / 1
LCM(71,65,909) = 4195035 / 1
LCM(71,65,909) = 4195035
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 98/71, 27/65, 628/909?
Answer: GCF of Numerators as per given numbers 98/71, 27/65, 628/909 is
GCF of Numerators i.e. for 98,27,628 is 1
LCM of denominators i.e. for 71,65,909 is 4195035.
Thus, GCF of Fractions is 1/4195035.Finally, GCF of Fractions for 98/71, 27/65, 628/909 is 1/4195035.