Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1601/56,1936/316
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 1601,1936
Greatest Common Factor of Numerators i.e. GCF of 1601,1936 is 1 .
LCM of Denominators means LCM of 56,316 as per the given fractions.
LCM of 56,316 is 4424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1601,1936
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1601
List of positive integer factors of 1601 that divides 1601 without a remainder.
1,1601
Factors of 1936
List of positive integer factors of 1936 that divides 1936 without a remainder.
1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936
Greatest Common Factor
We found the factors 1601,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 1601,1936 is 1.
Lets's calculate LCM of 56,316
2 | 56, 316 |
2 | 28, 158 |
14, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 79 = 4424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4424
Therefore, the GCF of Fractions 1601/56,1936/316 is 1/4424
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 56,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(56,316) x common factors =4 x 1 = 4
LCM(56,316) = ( 56 × 316 ) / 4
LCM(56,316) = 17696 / 4
LCM(56,316) = 4424
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 1601/56, 1936/316?
Answer: GCF of Numerators as per given numbers 1601/56, 1936/316 is
GCF of Numerators i.e. for 1601,1936 is 1
LCM of denominators i.e. for 56,316 is 4424.
Thus, GCF of Fractions is 1/4424.Finally, GCF of Fractions for 1601/56, 1936/316 is 1/4424.