Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1683/814,3252/557
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 1683,3252
Greatest Common Factor of Numerators i.e. GCF of 1683,3252 is 3 .
LCM of Denominators means LCM of 814,557 as per the given fractions.
LCM of 814,557 is 453398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1683,3252
3 | 1683, 3252 |
561, 1084 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1683
List of positive integer factors of 1683 that divides 1683 without a remainder.
1,3,9,11,17,33,51,99,153,187,561,1683
Factors of 3252
List of positive integer factors of 3252 that divides 3252 without a remainder.
1,2,3,4,6,12,271,542,813,1084,1626,3252
Greatest Common Factor
We found the factors 1683,3252 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,3252 is 3.
Lets's calculate LCM of 814,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 453398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/453398
Therefore, the GCF of Fractions 1683/814,3252/557 is 3/453398
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 814,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,557) x common factors =1 x 1 = 1
LCM(814,557) = ( 814 × 557 ) / 1
LCM(814,557) = 453398 / 1
LCM(814,557) = 453398
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 1683/814, 3252/557?
Answer: GCF of Numerators as per given numbers 1683/814, 3252/557 is
GCF of Numerators i.e. for 1683,3252 is 3
LCM of denominators i.e. for 814,557 is 453398.
Thus, GCF of Fractions is 3/453398.Finally, GCF of Fractions for 1683/814, 3252/557 is 3/453398.