Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 813/71,499/22,972/670
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 813,499,972
Greatest Common Factor of Numerators i.e. GCF of 813,499,972 is 1 .
LCM of Denominators means LCM of 71,22,670 as per the given fractions.
LCM of 71,22,670 is 523270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 813,499,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 813,499,972 . The biggest common factor number is the GCF number.
So the greatest common factor 813,499,972 is 1.
Lets's calculate LCM of 71,22,670
2 | 71, 22, 670 |
71, 11, 335 |
∴ So the LCM of the given numbers is 2 x 71 x 11 x 335 = 523270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/523270
Therefore, the GCF of Fractions 813/71,499/22,972/670 is 1/523270
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 71,22,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,22,670) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,22,670) x common factors =1 x 2 = 2
LCM(71,22,670) = ( 71 × 22 × 670 ) / 2
LCM(71,22,670) = 1046540 / 2
LCM(71,22,670) = 523270
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 813/71, 499/22, 972/670?
Answer: GCF of Numerators as per given numbers 813/71, 499/22, 972/670 is
GCF of Numerators i.e. for 813,499,972 is 1
LCM of denominators i.e. for 71,22,670 is 523270.
Thus, GCF of Fractions is 1/523270.Finally, GCF of Fractions for 813/71, 499/22, 972/670 is 1/523270.