Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3685/311,7529/7490
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 3685,7529
Greatest Common Factor of Numerators i.e. GCF of 3685,7529 is 1 .
LCM of Denominators means LCM of 311,7490 as per the given fractions.
LCM of 311,7490 is 2329390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3685,7529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3685
List of positive integer factors of 3685 that divides 3685 without a remainder.
1,5,11,55,67,335,737,3685
Factors of 7529
List of positive integer factors of 7529 that divides 7529 without a remainder.
1,7529
Greatest Common Factor
We found the factors 3685,7529 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,7529 is 1.
Lets's calculate LCM of 311,7490
Given numbers has no common factors except 1. So, there LCM is their product i.e 2329390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2329390
Therefore, the GCF of Fractions 3685/311,7529/7490 is 1/2329390
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 311,7490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,7490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,7490) x common factors =1 x 1 = 1
LCM(311,7490) = ( 311 × 7490 ) / 1
LCM(311,7490) = 2329390 / 1
LCM(311,7490) = 2329390
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 3685/311, 7529/7490?
Answer: GCF of Numerators as per given numbers 3685/311, 7529/7490 is
GCF of Numerators i.e. for 3685,7529 is 1
LCM of denominators i.e. for 311,7490 is 2329390.
Thus, GCF of Fractions is 1/2329390.Finally, GCF of Fractions for 3685/311, 7529/7490 is 1/2329390.