Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 282/37,859/68,524/885
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 282,859,524
Greatest Common Factor of Numerators i.e. GCF of 282,859,524 is 1 .
LCM of Denominators means LCM of 37,68,885 as per the given fractions.
LCM of 37,68,885 is 2226660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 282,859,524
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 282,859,524 . The biggest common factor number is the GCF number.
So the greatest common factor 282,859,524 is 1.
Lets's calculate LCM of 37,68,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 2226660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2226660
Therefore, the GCF of Fractions 282/37,859/68,524/885 is 1/2226660
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 37,68,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,68,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,68,885) x common factors =1 x 1 = 1
LCM(37,68,885) = ( 37 × 68 × 885 ) / 1
LCM(37,68,885) = 2226660 / 1
LCM(37,68,885) = 2226660
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 282/37, 859/68, 524/885?
Answer: GCF of Numerators as per given numbers 282/37, 859/68, 524/885 is
GCF of Numerators i.e. for 282,859,524 is 1
LCM of denominators i.e. for 37,68,885 is 2226660.
Thus, GCF of Fractions is 1/2226660.Finally, GCF of Fractions for 282/37, 859/68, 524/885 is 1/2226660.