Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/176,5750/2156
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 997,5750
Greatest Common Factor of Numerators i.e. GCF of 997,5750 is 1 .
LCM of Denominators means LCM of 176,2156 as per the given fractions.
LCM of 176,2156 is 8624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,5750
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 5750
List of positive integer factors of 5750 that divides 5750 without a remainder.
1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750
Greatest Common Factor
We found the factors 997,5750 . The biggest common factor number is the GCF number.
So the greatest common factor 997,5750 is 1.
Lets's calculate LCM of 176,2156
2 | 176, 2156 |
2 | 88, 1078 |
11 | 44, 539 |
4, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 4 x 49 = 8624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8624
Therefore, the GCF of Fractions 997/176,5750/2156 is 1/8624
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 176,2156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,2156) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(176,2156) x common factors =44 x 1 = 44
LCM(176,2156) = ( 176 × 2156 ) / 44
LCM(176,2156) = 379456 / 44
LCM(176,2156) = 8624
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 997/176, 5750/2156?
Answer: GCF of Numerators as per given numbers 997/176, 5750/2156 is
GCF of Numerators i.e. for 997,5750 is 1
LCM of denominators i.e. for 176,2156 is 8624.
Thus, GCF of Fractions is 1/8624.Finally, GCF of Fractions for 997/176, 5750/2156 is 1/8624.