Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4202/503,4871/6695
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 4202,4871
Greatest Common Factor of Numerators i.e. GCF of 4202,4871 is 1 .
LCM of Denominators means LCM of 503,6695 as per the given fractions.
LCM of 503,6695 is 3367585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4202,4871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4202
List of positive integer factors of 4202 that divides 4202 without a remainder.
1,2,11,22,191,382,2101,4202
Factors of 4871
List of positive integer factors of 4871 that divides 4871 without a remainder.
1,4871
Greatest Common Factor
We found the factors 4202,4871 . The biggest common factor number is the GCF number.
So the greatest common factor 4202,4871 is 1.
Lets's calculate LCM of 503,6695
Given numbers has no common factors except 1. So, there LCM is their product i.e 3367585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3367585
Therefore, the GCF of Fractions 4202/503,4871/6695 is 1/3367585
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 503,6695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,6695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,6695) x common factors =1 x 1 = 1
LCM(503,6695) = ( 503 × 6695 ) / 1
LCM(503,6695) = 3367585 / 1
LCM(503,6695) = 3367585
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 4202/503, 4871/6695?
Answer: GCF of Numerators as per given numbers 4202/503, 4871/6695 is
GCF of Numerators i.e. for 4202,4871 is 1
LCM of denominators i.e. for 503,6695 is 3367585.
Thus, GCF of Fractions is 1/3367585.Finally, GCF of Fractions for 4202/503, 4871/6695 is 1/3367585.