Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/535,9873/8392
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 98,9873
Greatest Common Factor of Numerators i.e. GCF of 98,9873 is 1 .
LCM of Denominators means LCM of 535,8392 as per the given fractions.
LCM of 535,8392 is 4489720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,9873
∴ 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 9873
List of positive integer factors of 9873 that divides 9873 without a remainder.
1,3,9,1097,3291,9873
Greatest Common Factor
We found the factors 98,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 98,9873 is 1.
Lets's calculate LCM of 535,8392
Given numbers has no common factors except 1. So, there LCM is their product i.e 4489720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4489720
Therefore, the GCF of Fractions 98/535,9873/8392 is 1/4489720
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 535,8392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(535,8392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(535,8392) x common factors =1 x 1 = 1
LCM(535,8392) = ( 535 × 8392 ) / 1
LCM(535,8392) = 4489720 / 1
LCM(535,8392) = 4489720
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 98/535, 9873/8392?
Answer: GCF of Numerators as per given numbers 98/535, 9873/8392 is
GCF of Numerators i.e. for 98,9873 is 1
LCM of denominators i.e. for 535,8392 is 4489720.
Thus, GCF of Fractions is 1/4489720.Finally, GCF of Fractions for 98/535, 9873/8392 is 1/4489720.