Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7492/202,5787/4501
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 7492,5787
Greatest Common Factor of Numerators i.e. GCF of 7492,5787 is 1 .
LCM of Denominators means LCM of 202,4501 as per the given fractions.
LCM of 202,4501 is 909202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7492,5787
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7492
List of positive integer factors of 7492 that divides 7492 without a remainder.
1,2,4,1873,3746,7492
Factors of 5787
List of positive integer factors of 5787 that divides 5787 without a remainder.
1,3,9,643,1929,5787
Greatest Common Factor
We found the factors 7492,5787 . The biggest common factor number is the GCF number.
So the greatest common factor 7492,5787 is 1.
Lets's calculate LCM of 202,4501
Given numbers has no common factors except 1. So, there LCM is their product i.e 909202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/909202
Therefore, the GCF of Fractions 7492/202,5787/4501 is 1/909202
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 202,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,4501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,4501) x common factors =1 x 1 = 1
LCM(202,4501) = ( 202 × 4501 ) / 1
LCM(202,4501) = 909202 / 1
LCM(202,4501) = 909202
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 7492/202, 5787/4501?
Answer: GCF of Numerators as per given numbers 7492/202, 5787/4501 is
GCF of Numerators i.e. for 7492,5787 is 1
LCM of denominators i.e. for 202,4501 is 909202.
Thus, GCF of Fractions is 1/909202.Finally, GCF of Fractions for 7492/202, 5787/4501 is 1/909202.