Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 796/424,4277/545
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 796,4277
Greatest Common Factor of Numerators i.e. GCF of 796,4277 is 1 .
LCM of Denominators means LCM of 424,545 as per the given fractions.
LCM of 424,545 is 231080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 796,4277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 4277
List of positive integer factors of 4277 that divides 4277 without a remainder.
1,7,13,47,91,329,611,4277
Greatest Common Factor
We found the factors 796,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 796,4277 is 1.
Lets's calculate LCM of 424,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 231080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231080
Therefore, the GCF of Fractions 796/424,4277/545 is 1/231080
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 424,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,545) x common factors =1 x 1 = 1
LCM(424,545) = ( 424 × 545 ) / 1
LCM(424,545) = 231080 / 1
LCM(424,545) = 231080
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 796/424, 4277/545?
Answer: GCF of Numerators as per given numbers 796/424, 4277/545 is
GCF of Numerators i.e. for 796,4277 is 1
LCM of denominators i.e. for 424,545 is 231080.
Thus, GCF of Fractions is 1/231080.Finally, GCF of Fractions for 796/424, 4277/545 is 1/231080.