Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/814,5174/302
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 103,5174
Greatest Common Factor of Numerators i.e. GCF of 103,5174 is 1 .
LCM of Denominators means LCM of 814,302 as per the given fractions.
LCM of 814,302 is 122914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 103,5174
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 5174
List of positive integer factors of 5174 that divides 5174 without a remainder.
1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 103,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 103,5174 is 1.
Lets's calculate LCM of 814,302
2 | 814, 302 |
407, 151 |
∴ So the LCM of the given numbers is 2 x 407 x 151 = 122914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122914
Therefore, the GCF of Fractions 103/814,5174/302 is 1/122914
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 814,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,302) x common factors =2 x 1 = 2
LCM(814,302) = ( 814 × 302 ) / 2
LCM(814,302) = 245828 / 2
LCM(814,302) = 122914
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 103/814, 5174/302?
Answer: GCF of Numerators as per given numbers 103/814, 5174/302 is
GCF of Numerators i.e. for 103,5174 is 1
LCM of denominators i.e. for 814,302 is 122914.
Thus, GCF of Fractions is 1/122914.Finally, GCF of Fractions for 103/814, 5174/302 is 1/122914.