Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2856/74,6347/942
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 2856,6347
Greatest Common Factor of Numerators i.e. GCF of 2856,6347 is 1 .
LCM of Denominators means LCM of 74,942 as per the given fractions.
LCM of 74,942 is 34854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2856,6347
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2856
List of positive integer factors of 2856 that divides 2856 without a remainder.
1,2,3,4,6,7,8,12,14,17,21,24,28,34,42,51,56,68,84,102,119,136,168,204,238,357,408,476,714,952,1428,2856
Factors of 6347
List of positive integer factors of 6347 that divides 6347 without a remainder.
1,11,577,6347
Greatest Common Factor
We found the factors 2856,6347 . The biggest common factor number is the GCF number.
So the greatest common factor 2856,6347 is 1.
Lets's calculate LCM of 74,942
2 | 74, 942 |
37, 471 |
∴ So the LCM of the given numbers is 2 x 37 x 471 = 34854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34854
Therefore, the GCF of Fractions 2856/74,6347/942 is 1/34854
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 74,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,942) x common factors =2 x 1 = 2
LCM(74,942) = ( 74 × 942 ) / 2
LCM(74,942) = 69708 / 2
LCM(74,942) = 34854
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 2856/74, 6347/942?
Answer: GCF of Numerators as per given numbers 2856/74, 6347/942 is
GCF of Numerators i.e. for 2856,6347 is 1
LCM of denominators i.e. for 74,942 is 34854.
Thus, GCF of Fractions is 1/34854.Finally, GCF of Fractions for 2856/74, 6347/942 is 1/34854.