Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/662,2327/316
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 854,2327
Greatest Common Factor of Numerators i.e. GCF of 854,2327 is 1 .
LCM of Denominators means LCM of 662,316 as per the given fractions.
LCM of 662,316 is 104596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,2327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 2327
List of positive integer factors of 2327 that divides 2327 without a remainder.
1,13,179,2327
Greatest Common Factor
We found the factors 854,2327 . The biggest common factor number is the GCF number.
So the greatest common factor 854,2327 is 1.
Lets's calculate LCM of 662,316
2 | 662, 316 |
331, 158 |
∴ So the LCM of the given numbers is 2 x 331 x 158 = 104596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104596
Therefore, the GCF of Fractions 854/662,2327/316 is 1/104596
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 662,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,316) x common factors =2 x 1 = 2
LCM(662,316) = ( 662 × 316 ) / 2
LCM(662,316) = 209192 / 2
LCM(662,316) = 104596
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 854/662, 2327/316?
Answer: GCF of Numerators as per given numbers 854/662, 2327/316 is
GCF of Numerators i.e. for 854,2327 is 1
LCM of denominators i.e. for 662,316 is 104596.
Thus, GCF of Fractions is 1/104596.Finally, GCF of Fractions for 854/662, 2327/316 is 1/104596.