Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/49,5658/108
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 250,5658
Greatest Common Factor of Numerators i.e. GCF of 250,5658 is 2 .
LCM of Denominators means LCM of 49,108 as per the given fractions.
LCM of 49,108 is 5292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,5658
2 | 250, 5658 |
125, 2829 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 5658
List of positive integer factors of 5658 that divides 5658 without a remainder.
1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658
Greatest Common Factor
We found the factors 250,5658 . The biggest common factor number is the GCF number.
So the greatest common factor 250,5658 is 2.
Lets's calculate LCM of 49,108
Given numbers has no common factors except 1. So, there LCM is their product i.e 5292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5292
Therefore, the GCF of Fractions 250/49,5658/108 is 2/5292
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 49,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,108) x common factors =1 x 1 = 1
LCM(49,108) = ( 49 × 108 ) / 1
LCM(49,108) = 5292 / 1
LCM(49,108) = 5292
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 250/49, 5658/108?
Answer: GCF of Numerators as per given numbers 250/49, 5658/108 is
GCF of Numerators i.e. for 250,5658 is 2
LCM of denominators i.e. for 49,108 is 5292.
Thus, GCF of Fractions is 2/5292.Finally, GCF of Fractions for 250/49, 5658/108 is 2/5292.