Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6734/291,8995/4722
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 6734,8995
Greatest Common Factor of Numerators i.e. GCF of 6734,8995 is 7 .
LCM of Denominators means LCM of 291,4722 as per the given fractions.
LCM of 291,4722 is 458034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6734,8995
7 | 6734, 8995 |
962, 1285 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 6734
List of positive integer factors of 6734 that divides 6734 without a remainder.
1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Factors of 8995
List of positive integer factors of 8995 that divides 8995 without a remainder.
1,5,7,35,257,1285,1799,8995
Greatest Common Factor
We found the factors 6734,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 6734,8995 is 7.
Lets's calculate LCM of 291,4722
3 | 291, 4722 |
97, 1574 |
∴ So the LCM of the given numbers is 3 x 97 x 1574 = 458034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/458034
Therefore, the GCF of Fractions 6734/291,8995/4722 is 7/458034
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 291,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,4722) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,4722) x common factors =3 x 1 = 3
LCM(291,4722) = ( 291 × 4722 ) / 3
LCM(291,4722) = 1374102 / 3
LCM(291,4722) = 458034
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 6734/291, 8995/4722?
Answer: GCF of Numerators as per given numbers 6734/291, 8995/4722 is
GCF of Numerators i.e. for 6734,8995 is 7
LCM of denominators i.e. for 291,4722 is 458034.
Thus, GCF of Fractions is 7/458034.Finally, GCF of Fractions for 6734/291, 8995/4722 is 7/458034.