Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/472,282/951,859/507
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 62,282,859
Greatest Common Factor of Numerators i.e. GCF of 62,282,859 is 1 .
LCM of Denominators means LCM of 472,951,507 as per the given fractions.
LCM of 472,951,507 is 75859368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,282,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Greatest Common Factor
We found the factors 62,282,859 . The biggest common factor number is the GCF number.
So the greatest common factor 62,282,859 is 1.
Lets's calculate LCM of 472,951,507
3 | 472, 951, 507 |
472, 317, 169 |
∴ So the LCM of the given numbers is 3 x 472 x 317 x 169 = 75859368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75859368
Therefore, the GCF of Fractions 62/472,282/951,859/507 is 1/75859368
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 472,951,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,951,507) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(472,951,507) x common factors =1 x 3 = 3
LCM(472,951,507) = ( 472 × 951 × 507 ) / 3
LCM(472,951,507) = 227578104 / 3
LCM(472,951,507) = 75859368
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 62/472, 282/951, 859/507?
Answer: GCF of Numerators as per given numbers 62/472, 282/951, 859/507 is
GCF of Numerators i.e. for 62,282,859 is 1
LCM of denominators i.e. for 472,951,507 is 75859368.
Thus, GCF of Fractions is 1/75859368.Finally, GCF of Fractions for 62/472, 282/951, 859/507 is 1/75859368.