Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5270/837,4247/443
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 5270,4247
Greatest Common Factor of Numerators i.e. GCF of 5270,4247 is 31 .
LCM of Denominators means LCM of 837,443 as per the given fractions.
LCM of 837,443 is 370791 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5270,4247
31 | 5270, 4247 |
170, 137 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 5270
List of positive integer factors of 5270 that divides 5270 without a remainder.
1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270
Factors of 4247
List of positive integer factors of 4247 that divides 4247 without a remainder.
1,31,137,4247
Greatest Common Factor
We found the factors 5270,4247 . The biggest common factor number is the GCF number.
So the greatest common factor 5270,4247 is 31.
Lets's calculate LCM of 837,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 370791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/370791
Therefore, the GCF of Fractions 5270/837,4247/443 is 31/370791
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 837,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,443) x common factors =1 x 1 = 1
LCM(837,443) = ( 837 × 443 ) / 1
LCM(837,443) = 370791 / 1
LCM(837,443) = 370791
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 5270/837, 4247/443?
Answer: GCF of Numerators as per given numbers 5270/837, 4247/443 is
GCF of Numerators i.e. for 5270,4247 is 31
LCM of denominators i.e. for 837,443 is 370791.
Thus, GCF of Fractions is 31/370791.Finally, GCF of Fractions for 5270/837, 4247/443 is 31/370791.