Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/774,5206/8530
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 86,5206
Greatest Common Factor of Numerators i.e. GCF of 86,5206 is 2 .
LCM of Denominators means LCM of 774,8530 as per the given fractions.
LCM of 774,8530 is 3301110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,5206
2 | 86, 5206 |
43, 2603 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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 86,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 86,5206 is 2.
Lets's calculate LCM of 774,8530
2 | 774, 8530 |
387, 4265 |
∴ So the LCM of the given numbers is 2 x 387 x 4265 = 3301110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3301110
Therefore, the GCF of Fractions 86/774,5206/8530 is 2/3301110
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 774,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,8530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,8530) x common factors =2 x 1 = 2
LCM(774,8530) = ( 774 × 8530 ) / 2
LCM(774,8530) = 6602220 / 2
LCM(774,8530) = 3301110
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 86/774, 5206/8530?
Answer: GCF of Numerators as per given numbers 86/774, 5206/8530 is
GCF of Numerators i.e. for 86,5206 is 2
LCM of denominators i.e. for 774,8530 is 3301110.
Thus, GCF of Fractions is 2/3301110.Finally, GCF of Fractions for 86/774, 5206/8530 is 2/3301110.