Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 281/221,6982/567
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 281,6982
Greatest Common Factor of Numerators i.e. GCF of 281,6982 is 1 .
LCM of Denominators means LCM of 221,567 as per the given fractions.
LCM of 221,567 is 125307 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 281,6982
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 6982
List of positive integer factors of 6982 that divides 6982 without a remainder.
1,2,3491,6982
Greatest Common Factor
We found the factors 281,6982 . The biggest common factor number is the GCF number.
So the greatest common factor 281,6982 is 1.
Lets's calculate LCM of 221,567
Given numbers has no common factors except 1. So, there LCM is their product i.e 125307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125307
Therefore, the GCF of Fractions 281/221,6982/567 is 1/125307
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 221,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,567) x common factors =1 x 1 = 1
LCM(221,567) = ( 221 × 567 ) / 1
LCM(221,567) = 125307 / 1
LCM(221,567) = 125307
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 281/221, 6982/567?
Answer: GCF of Numerators as per given numbers 281/221, 6982/567 is
GCF of Numerators i.e. for 281,6982 is 1
LCM of denominators i.e. for 221,567 is 125307.
Thus, GCF of Fractions is 1/125307.Finally, GCF of Fractions for 281/221, 6982/567 is 1/125307.