Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/249,806/536,463/670
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 951,806,463
Greatest Common Factor of Numerators i.e. GCF of 951,806,463 is 1 .
LCM of Denominators means LCM of 249,536,670 as per the given fractions.
LCM of 249,536,670 is 667320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 951,806,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 951,806,463 . The biggest common factor number is the GCF number.
So the greatest common factor 951,806,463 is 1.
Lets's calculate LCM of 249,536,670
2 | 249, 536, 670 |
67 | 249, 268, 335 |
249, 4, 5 |
∴ So the LCM of the given numbers is 2 x 67 x 249 x 4 x 5 = 667320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667320
Therefore, the GCF of Fractions 951/249,806/536,463/670 is 1/667320
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 249,536,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,536,670) = 1
common factors(in case of two or more numbers have common factors) = 134
GCF(249,536,670) x common factors =1 x 134 = 134
LCM(249,536,670) = ( 249 × 536 × 670 ) / 134
LCM(249,536,670) = 89420880 / 134
LCM(249,536,670) = 667320
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 951/249, 806/536, 463/670?
Answer: GCF of Numerators as per given numbers 951/249, 806/536, 463/670 is
GCF of Numerators i.e. for 951,806,463 is 1
LCM of denominators i.e. for 249,536,670 is 667320.
Thus, GCF of Fractions is 1/667320.Finally, GCF of Fractions for 951/249, 806/536, 463/670 is 1/667320.