Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5078/67,1178/223
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 5078,1178
Greatest Common Factor of Numerators i.e. GCF of 5078,1178 is 2 .
LCM of Denominators means LCM of 67,223 as per the given fractions.
LCM of 67,223 is 14941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5078,1178
2 | 5078, 1178 |
2539, 589 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5078
List of positive integer factors of 5078 that divides 5078 without a remainder.
1,2,2539,5078
Factors of 1178
List of positive integer factors of 1178 that divides 1178 without a remainder.
1,2,19,31,38,62,589,1178
Greatest Common Factor
We found the factors 5078,1178 . The biggest common factor number is the GCF number.
So the greatest common factor 5078,1178 is 2.
Lets's calculate LCM of 67,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 14941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14941
Therefore, the GCF of Fractions 5078/67,1178/223 is 2/14941
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 67,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,223) x common factors =1 x 1 = 1
LCM(67,223) = ( 67 × 223 ) / 1
LCM(67,223) = 14941 / 1
LCM(67,223) = 14941
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 5078/67, 1178/223?
Answer: GCF of Numerators as per given numbers 5078/67, 1178/223 is
GCF of Numerators i.e. for 5078,1178 is 2
LCM of denominators i.e. for 67,223 is 14941.
Thus, GCF of Fractions is 2/14941.Finally, GCF of Fractions for 5078/67, 1178/223 is 2/14941.