Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5020/761,7197/3664
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 5020,7197
Greatest Common Factor of Numerators i.e. GCF of 5020,7197 is 1 .
LCM of Denominators means LCM of 761,3664 as per the given fractions.
LCM of 761,3664 is 2788304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5020,7197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5020
List of positive integer factors of 5020 that divides 5020 without a remainder.
1,2,4,5,10,20,251,502,1004,1255,2510,5020
Factors of 7197
List of positive integer factors of 7197 that divides 7197 without a remainder.
1,3,2399,7197
Greatest Common Factor
We found the factors 5020,7197 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,7197 is 1.
Lets's calculate LCM of 761,3664
Given numbers has no common factors except 1. So, there LCM is their product i.e 2788304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2788304
Therefore, the GCF of Fractions 5020/761,7197/3664 is 1/2788304
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 761,3664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,3664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,3664) x common factors =1 x 1 = 1
LCM(761,3664) = ( 761 × 3664 ) / 1
LCM(761,3664) = 2788304 / 1
LCM(761,3664) = 2788304
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 5020/761, 7197/3664?
Answer: GCF of Numerators as per given numbers 5020/761, 7197/3664 is
GCF of Numerators i.e. for 5020,7197 is 1
LCM of denominators i.e. for 761,3664 is 2788304.
Thus, GCF of Fractions is 1/2788304.Finally, GCF of Fractions for 5020/761, 7197/3664 is 1/2788304.