Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/433,834/558,526/202
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 80,834,526
Greatest Common Factor of Numerators i.e. GCF of 80,834,526 is 2 .
LCM of Denominators means LCM of 433,558,202 as per the given fractions.
LCM of 433,558,202 is 24403014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,834,526
2 | 80, 834, 526 |
40, 417, 263 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 80,834,526 . The biggest common factor number is the GCF number.
So the greatest common factor 80,834,526 is 2.
Lets's calculate LCM of 433,558,202
2 | 433, 558, 202 |
433, 279, 101 |
∴ So the LCM of the given numbers is 2 x 433 x 279 x 101 = 24403014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24403014
Therefore, the GCF of Fractions 80/433,834/558,526/202 is 2/24403014
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 433,558,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,558,202) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(433,558,202) x common factors =1 x 2 = 2
LCM(433,558,202) = ( 433 × 558 × 202 ) / 2
LCM(433,558,202) = 48806028 / 2
LCM(433,558,202) = 24403014
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 80/433, 834/558, 526/202?
Answer: GCF of Numerators as per given numbers 80/433, 834/558, 526/202 is
GCF of Numerators i.e. for 80,834,526 is 2
LCM of denominators i.e. for 433,558,202 is 24403014.
Thus, GCF of Fractions is 2/24403014.Finally, GCF of Fractions for 80/433, 834/558, 526/202 is 2/24403014.