Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/881,520/102
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 338,520
Greatest Common Factor of Numerators i.e. GCF of 338,520 is 26 .
LCM of Denominators means LCM of 881,102 as per the given fractions.
LCM of 881,102 is 89862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,520
2 | 338, 520 |
13 | 169, 260 |
13, 20 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 338,520 . The biggest common factor number is the GCF number.
So the greatest common factor 338,520 is 26.
Lets's calculate LCM of 881,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 89862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/89862
Therefore, the GCF of Fractions 338/881,520/102 is 26/89862
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 881,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,102) x common factors =1 x 1 = 1
LCM(881,102) = ( 881 × 102 ) / 1
LCM(881,102) = 89862 / 1
LCM(881,102) = 89862
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 338/881, 520/102?
Answer: GCF of Numerators as per given numbers 338/881, 520/102 is
GCF of Numerators i.e. for 338,520 is 26
LCM of denominators i.e. for 881,102 is 89862.
Thus, GCF of Fractions is 26/89862.Finally, GCF of Fractions for 338/881, 520/102 is 26/89862.