Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/47,5206/818
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 352,5206
Greatest Common Factor of Numerators i.e. GCF of 352,5206 is 2 .
LCM of Denominators means LCM of 47,818 as per the given fractions.
LCM of 47,818 is 38446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 352,5206
2 | 352, 5206 |
176, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 5206
List of positive integer factors of 5206 that divides 5206 without a remainder.
1,2,19,38,137,274,2603,5206
Greatest Common Factor
We found the factors 352,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 352,5206 is 2.
Lets's calculate LCM of 47,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 38446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38446
Therefore, the GCF of Fractions 352/47,5206/818 is 2/38446
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 47,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,818) x common factors =1 x 1 = 1
LCM(47,818) = ( 47 × 818 ) / 1
LCM(47,818) = 38446 / 1
LCM(47,818) = 38446
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 352/47, 5206/818?
Answer: GCF of Numerators as per given numbers 352/47, 5206/818 is
GCF of Numerators i.e. for 352,5206 is 2
LCM of denominators i.e. for 47,818 is 38446.
Thus, GCF of Fractions is 2/38446.Finally, GCF of Fractions for 352/47, 5206/818 is 2/38446.