Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8662/297,2007/8167
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 8662,2007
Greatest Common Factor of Numerators i.e. GCF of 8662,2007 is 1 .
LCM of Denominators means LCM of 297,8167 as per the given fractions.
LCM of 297,8167 is 2425599 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8662,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8662
List of positive integer factors of 8662 that divides 8662 without a remainder.
1,2,61,71,122,142,4331,8662
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Greatest Common Factor
We found the factors 8662,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 8662,2007 is 1.
Lets's calculate LCM of 297,8167
Given numbers has no common factors except 1. So, there LCM is their product i.e 2425599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2425599
Therefore, the GCF of Fractions 8662/297,2007/8167 is 1/2425599
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 297,8167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,8167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,8167) x common factors =1 x 1 = 1
LCM(297,8167) = ( 297 × 8167 ) / 1
LCM(297,8167) = 2425599 / 1
LCM(297,8167) = 2425599
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 8662/297, 2007/8167?
Answer: GCF of Numerators as per given numbers 8662/297, 2007/8167 is
GCF of Numerators i.e. for 8662,2007 is 1
LCM of denominators i.e. for 297,8167 is 2425599.
Thus, GCF of Fractions is 1/2425599.Finally, GCF of Fractions for 8662/297, 2007/8167 is 1/2425599.