Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2074/85,6432/833
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 2074,6432
Greatest Common Factor of Numerators i.e. GCF of 2074,6432 is 2 .
LCM of Denominators means LCM of 85,833 as per the given fractions.
LCM of 85,833 is 4165 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2074,6432
2 | 2074, 6432 |
1037, 3216 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2074
List of positive integer factors of 2074 that divides 2074 without a remainder.
1,2,17,34,61,122,1037,2074
Factors of 6432
List of positive integer factors of 6432 that divides 6432 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 2074,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 2074,6432 is 2.
Lets's calculate LCM of 85,833
17 | 85, 833 |
5, 49 |
∴ So the LCM of the given numbers is 17 x 5 x 49 = 4165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4165
Therefore, the GCF of Fractions 2074/85,6432/833 is 2/4165
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 85,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,833) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,833) x common factors =17 x 1 = 17
LCM(85,833) = ( 85 × 833 ) / 17
LCM(85,833) = 70805 / 17
LCM(85,833) = 4165
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 2074/85, 6432/833?
Answer: GCF of Numerators as per given numbers 2074/85, 6432/833 is
GCF of Numerators i.e. for 2074,6432 is 2
LCM of denominators i.e. for 85,833 is 4165.
Thus, GCF of Fractions is 2/4165.Finally, GCF of Fractions for 2074/85, 6432/833 is 2/4165.