Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/801,535/884,812/459
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 67,535,812
Greatest Common Factor of Numerators i.e. GCF of 67,535,812 is 1 .
LCM of Denominators means LCM of 801,884,459 as per the given fractions.
LCM of 801,884,459 is 2124252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,535,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 67,535,812 . The biggest common factor number is the GCF number.
So the greatest common factor 67,535,812 is 1.
Lets's calculate LCM of 801,884,459
3 | 801, 884, 459 |
3 | 267, 884, 153 |
17 | 89, 884, 51 |
89, 52, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 89 x 52 x 3 = 2124252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2124252
Therefore, the GCF of Fractions 67/801,535/884,812/459 is 1/2124252
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 801,884,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,884,459) = 1
common factors(in case of two or more numbers have common factors) = 153
GCF(801,884,459) x common factors =1 x 153 = 153
LCM(801,884,459) = ( 801 × 884 × 459 ) / 153
LCM(801,884,459) = 325010556 / 153
LCM(801,884,459) = 2124252
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 67/801, 535/884, 812/459?
Answer: GCF of Numerators as per given numbers 67/801, 535/884, 812/459 is
GCF of Numerators i.e. for 67,535,812 is 1
LCM of denominators i.e. for 801,884,459 is 2124252.
Thus, GCF of Fractions is 1/2124252.Finally, GCF of Fractions for 67/801, 535/884, 812/459 is 1/2124252.