Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/10,856/74,334/412
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 859,856,334
Greatest Common Factor of Numerators i.e. GCF of 859,856,334 is 1 .
LCM of Denominators means LCM of 10,74,412 as per the given fractions.
LCM of 10,74,412 is 76220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,856,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 859,856,334 . The biggest common factor number is the GCF number.
So the greatest common factor 859,856,334 is 1.
Lets's calculate LCM of 10,74,412
2 | 10, 74, 412 |
5, 37, 206 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 206 = 76220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76220
Therefore, the GCF of Fractions 859/10,856/74,334/412 is 1/76220
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 10,74,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,74,412) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,74,412) x common factors =2 x 2 = 4
LCM(10,74,412) = ( 10 × 74 × 412 ) / 4
LCM(10,74,412) = 304880 / 4
LCM(10,74,412) = 76220
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 859/10, 856/74, 334/412?
Answer: GCF of Numerators as per given numbers 859/10, 856/74, 334/412 is
GCF of Numerators i.e. for 859,856,334 is 1
LCM of denominators i.e. for 10,74,412 is 76220.
Thus, GCF of Fractions is 1/76220.Finally, GCF of Fractions for 859/10, 856/74, 334/412 is 1/76220.