Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/510,1646/107
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 923,1646
Greatest Common Factor of Numerators i.e. GCF of 923,1646 is 1 .
LCM of Denominators means LCM of 510,107 as per the given fractions.
LCM of 510,107 is 54570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 923,1646
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 1646
List of positive integer factors of 1646 that divides 1646 without a remainder.
1,2,823,1646
Greatest Common Factor
We found the factors 923,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 923,1646 is 1.
Lets's calculate LCM of 510,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 54570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54570
Therefore, the GCF of Fractions 923/510,1646/107 is 1/54570
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 510,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(510,107) x common factors =1 x 1 = 1
LCM(510,107) = ( 510 × 107 ) / 1
LCM(510,107) = 54570 / 1
LCM(510,107) = 54570
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 923/510, 1646/107?
Answer: GCF of Numerators as per given numbers 923/510, 1646/107 is
GCF of Numerators i.e. for 923,1646 is 1
LCM of denominators i.e. for 510,107 is 54570.
Thus, GCF of Fractions is 1/54570.Finally, GCF of Fractions for 923/510, 1646/107 is 1/54570.