Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4690/52,1957/511
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 4690,1957
Greatest Common Factor of Numerators i.e. GCF of 4690,1957 is 1 .
LCM of Denominators means LCM of 52,511 as per the given fractions.
LCM of 52,511 is 26572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4690,1957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4690
List of positive integer factors of 4690 that divides 4690 without a remainder.
1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Factors of 1957
List of positive integer factors of 1957 that divides 1957 without a remainder.
1,19,103,1957
Greatest Common Factor
We found the factors 4690,1957 . The biggest common factor number is the GCF number.
So the greatest common factor 4690,1957 is 1.
Lets's calculate LCM of 52,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 26572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26572
Therefore, the GCF of Fractions 4690/52,1957/511 is 1/26572
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 52,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,511) x common factors =1 x 1 = 1
LCM(52,511) = ( 52 × 511 ) / 1
LCM(52,511) = 26572 / 1
LCM(52,511) = 26572
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 4690/52, 1957/511?
Answer: GCF of Numerators as per given numbers 4690/52, 1957/511 is
GCF of Numerators i.e. for 4690,1957 is 1
LCM of denominators i.e. for 52,511 is 26572.
Thus, GCF of Fractions is 1/26572.Finally, GCF of Fractions for 4690/52, 1957/511 is 1/26572.