Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2422/95,7178/737
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 2422,7178
Greatest Common Factor of Numerators i.e. GCF of 2422,7178 is 2 .
LCM of Denominators means LCM of 95,737 as per the given fractions.
LCM of 95,737 is 70015 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2422,7178
2 | 2422, 7178 |
1211, 3589 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2422
List of positive integer factors of 2422 that divides 2422 without a remainder.
1,2,7,14,173,346,1211,2422
Factors of 7178
List of positive integer factors of 7178 that divides 7178 without a remainder.
1,2,37,74,97,194,3589,7178
Greatest Common Factor
We found the factors 2422,7178 . The biggest common factor number is the GCF number.
So the greatest common factor 2422,7178 is 2.
Lets's calculate LCM of 95,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 70015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70015
Therefore, the GCF of Fractions 2422/95,7178/737 is 2/70015
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 95,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,737) x common factors =1 x 1 = 1
LCM(95,737) = ( 95 × 737 ) / 1
LCM(95,737) = 70015 / 1
LCM(95,737) = 70015
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 2422/95, 7178/737?
Answer: GCF of Numerators as per given numbers 2422/95, 7178/737 is
GCF of Numerators i.e. for 2422,7178 is 2
LCM of denominators i.e. for 95,737 is 70015.
Thus, GCF of Fractions is 2/70015.Finally, GCF of Fractions for 2422/95, 7178/737 is 2/70015.