Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/998,4905/115
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 873,4905
Greatest Common Factor of Numerators i.e. GCF of 873,4905 is 9 .
LCM of Denominators means LCM of 998,115 as per the given fractions.
LCM of 998,115 is 114770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 873,4905
3 | 873, 4905 |
3 | 291, 1635 |
97, 545 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 4905
List of positive integer factors of 4905 that divides 4905 without a remainder.
1,3,5,9,15,45,109,327,545,981,1635,4905
Greatest Common Factor
We found the factors 873,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 873,4905 is 9.
Lets's calculate LCM of 998,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 114770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/114770
Therefore, the GCF of Fractions 873/998,4905/115 is 9/114770
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 998,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,115) x common factors =1 x 1 = 1
LCM(998,115) = ( 998 × 115 ) / 1
LCM(998,115) = 114770 / 1
LCM(998,115) = 114770
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 873/998, 4905/115?
Answer: GCF of Numerators as per given numbers 873/998, 4905/115 is
GCF of Numerators i.e. for 873,4905 is 9
LCM of denominators i.e. for 998,115 is 114770.
Thus, GCF of Fractions is 9/114770.Finally, GCF of Fractions for 873/998, 4905/115 is 9/114770.