Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3021/99,4251/175
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 3021,4251
Greatest Common Factor of Numerators i.e. GCF of 3021,4251 is 3 .
LCM of Denominators means LCM of 99,175 as per the given fractions.
LCM of 99,175 is 17325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3021,4251
3 | 3021, 4251 |
1007, 1417 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3021
List of positive integer factors of 3021 that divides 3021 without a remainder.
1,3,19,53,57,159,1007,3021
Factors of 4251
List of positive integer factors of 4251 that divides 4251 without a remainder.
1,3,13,39,109,327,1417,4251
Greatest Common Factor
We found the factors 3021,4251 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,4251 is 3.
Lets's calculate LCM of 99,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 17325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17325
Therefore, the GCF of Fractions 3021/99,4251/175 is 3/17325
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 99,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,175) x common factors =1 x 1 = 1
LCM(99,175) = ( 99 × 175 ) / 1
LCM(99,175) = 17325 / 1
LCM(99,175) = 17325
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 3021/99, 4251/175?
Answer: GCF of Numerators as per given numbers 3021/99, 4251/175 is
GCF of Numerators i.e. for 3021,4251 is 3
LCM of denominators i.e. for 99,175 is 17325.
Thus, GCF of Fractions is 3/17325.Finally, GCF of Fractions for 3021/99, 4251/175 is 3/17325.