Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/565,2794/646
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 910,2794
Greatest Common Factor of Numerators i.e. GCF of 910,2794 is 2 .
LCM of Denominators means LCM of 565,646 as per the given fractions.
LCM of 565,646 is 364990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 910,2794
2 | 910, 2794 |
455, 1397 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 2794
List of positive integer factors of 2794 that divides 2794 without a remainder.
1,2,11,22,127,254,1397,2794
Greatest Common Factor
We found the factors 910,2794 . The biggest common factor number is the GCF number.
So the greatest common factor 910,2794 is 2.
Lets's calculate LCM of 565,646
Given numbers has no common factors except 1. So, there LCM is their product i.e 364990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/364990
Therefore, the GCF of Fractions 910/565,2794/646 is 2/364990
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 565,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,646) x common factors =1 x 1 = 1
LCM(565,646) = ( 565 × 646 ) / 1
LCM(565,646) = 364990 / 1
LCM(565,646) = 364990
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 910/565, 2794/646?
Answer: GCF of Numerators as per given numbers 910/565, 2794/646 is
GCF of Numerators i.e. for 910,2794 is 2
LCM of denominators i.e. for 565,646 is 364990.
Thus, GCF of Fractions is 2/364990.Finally, GCF of Fractions for 910/565, 2794/646 is 2/364990.