Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/209,2134/178
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 494,2134
Greatest Common Factor of Numerators i.e. GCF of 494,2134 is 2 .
LCM of Denominators means LCM of 209,178 as per the given fractions.
LCM of 209,178 is 37202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,2134
2 | 494, 2134 |
247, 1067 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 2134
List of positive integer factors of 2134 that divides 2134 without a remainder.
1,2,11,22,97,194,1067,2134
Greatest Common Factor
We found the factors 494,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 494,2134 is 2.
Lets's calculate LCM of 209,178
Given numbers has no common factors except 1. So, there LCM is their product i.e 37202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37202
Therefore, the GCF of Fractions 494/209,2134/178 is 2/37202
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 209,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,178) x common factors =1 x 1 = 1
LCM(209,178) = ( 209 × 178 ) / 1
LCM(209,178) = 37202 / 1
LCM(209,178) = 37202
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 494/209, 2134/178?
Answer: GCF of Numerators as per given numbers 494/209, 2134/178 is
GCF of Numerators i.e. for 494,2134 is 2
LCM of denominators i.e. for 209,178 is 37202.
Thus, GCF of Fractions is 2/37202.Finally, GCF of Fractions for 494/209, 2134/178 is 2/37202.