Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2972/755,3251/4168
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 2972,3251
Greatest Common Factor of Numerators i.e. GCF of 2972,3251 is 1 .
LCM of Denominators means LCM of 755,4168 as per the given fractions.
LCM of 755,4168 is 3146840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2972,3251
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2972
List of positive integer factors of 2972 that divides 2972 without a remainder.
1,2,4,743,1486,2972
Factors of 3251
List of positive integer factors of 3251 that divides 3251 without a remainder.
1,3251
Greatest Common Factor
We found the factors 2972,3251 . The biggest common factor number is the GCF number.
So the greatest common factor 2972,3251 is 1.
Lets's calculate LCM of 755,4168
Given numbers has no common factors except 1. So, there LCM is their product i.e 3146840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3146840
Therefore, the GCF of Fractions 2972/755,3251/4168 is 1/3146840
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 755,4168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,4168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,4168) x common factors =1 x 1 = 1
LCM(755,4168) = ( 755 × 4168 ) / 1
LCM(755,4168) = 3146840 / 1
LCM(755,4168) = 3146840
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 2972/755, 3251/4168?
Answer: GCF of Numerators as per given numbers 2972/755, 3251/4168 is
GCF of Numerators i.e. for 2972,3251 is 1
LCM of denominators i.e. for 755,4168 is 3146840.
Thus, GCF of Fractions is 1/3146840.Finally, GCF of Fractions for 2972/755, 3251/4168 is 1/3146840.