Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7034/292,6556/9739
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 7034,6556
Greatest Common Factor of Numerators i.e. GCF of 7034,6556 is 2 .
LCM of Denominators means LCM of 292,9739 as per the given fractions.
LCM of 292,9739 is 2843788 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7034,6556
2 | 7034, 6556 |
3517, 3278 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7034
List of positive integer factors of 7034 that divides 7034 without a remainder.
1,2,3517,7034
Factors of 6556
List of positive integer factors of 6556 that divides 6556 without a remainder.
1,2,4,11,22,44,149,298,596,1639,3278,6556
Greatest Common Factor
We found the factors 7034,6556 . The biggest common factor number is the GCF number.
So the greatest common factor 7034,6556 is 2.
Lets's calculate LCM of 292,9739
Given numbers has no common factors except 1. So, there LCM is their product i.e 2843788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2843788
Therefore, the GCF of Fractions 7034/292,6556/9739 is 2/2843788
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 292,9739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,9739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,9739) x common factors =1 x 1 = 1
LCM(292,9739) = ( 292 × 9739 ) / 1
LCM(292,9739) = 2843788 / 1
LCM(292,9739) = 2843788
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 7034/292, 6556/9739?
Answer: GCF of Numerators as per given numbers 7034/292, 6556/9739 is
GCF of Numerators i.e. for 7034,6556 is 2
LCM of denominators i.e. for 292,9739 is 2843788.
Thus, GCF of Fractions is 2/2843788.Finally, GCF of Fractions for 7034/292, 6556/9739 is 2/2843788.