Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 282/7082,199/8285
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 282,199
Greatest Common Factor of Numerators i.e. GCF of 282,199 is 1 .
LCM of Denominators means LCM of 7082,8285 as per the given fractions.
LCM of 7082,8285 is 58674370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 282,199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Greatest Common Factor
We found the factors 282,199 . The biggest common factor number is the GCF number.
So the greatest common factor 282,199 is 1.
Lets's calculate LCM of 7082,8285
Given numbers has no common factors except 1. So, there LCM is their product i.e 58674370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58674370
Therefore, the GCF of Fractions 282/7082,199/8285 is 1/58674370
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 7082,8285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7082,8285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7082,8285) x common factors =1 x 1 = 1
LCM(7082,8285) = ( 7082 × 8285 ) / 1
LCM(7082,8285) = 58674370 / 1
LCM(7082,8285) = 58674370
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 282/7082, 199/8285?
Answer: GCF of Numerators as per given numbers 282/7082, 199/8285 is
GCF of Numerators i.e. for 282,199 is 1
LCM of denominators i.e. for 7082,8285 is 58674370.
Thus, GCF of Fractions is 1/58674370.Finally, GCF of Fractions for 282/7082, 199/8285 is 1/58674370.