Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7471/814,5208/8441
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 7471,5208
Greatest Common Factor of Numerators i.e. GCF of 7471,5208 is 31 .
LCM of Denominators means LCM of 814,8441 as per the given fractions.
LCM of 814,8441 is 6870974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7471,5208
31 | 7471, 5208 |
241, 168 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 7471
List of positive integer factors of 7471 that divides 7471 without a remainder.
1,31,241,7471
Factors of 5208
List of positive integer factors of 5208 that divides 5208 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,31,42,56,62,84,93,124,168,186,217,248,372,434,651,744,868,1302,1736,2604,5208
Greatest Common Factor
We found the factors 7471,5208 . The biggest common factor number is the GCF number.
So the greatest common factor 7471,5208 is 31.
Lets's calculate LCM of 814,8441
Given numbers has no common factors except 1. So, there LCM is their product i.e 6870974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/6870974
Therefore, the GCF of Fractions 7471/814,5208/8441 is 31/6870974
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 814,8441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,8441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,8441) x common factors =1 x 1 = 1
LCM(814,8441) = ( 814 × 8441 ) / 1
LCM(814,8441) = 6870974 / 1
LCM(814,8441) = 6870974
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 7471/814, 5208/8441?
Answer: GCF of Numerators as per given numbers 7471/814, 5208/8441 is
GCF of Numerators i.e. for 7471,5208 is 31
LCM of denominators i.e. for 814,8441 is 6870974.
Thus, GCF of Fractions is 31/6870974.Finally, GCF of Fractions for 7471/814, 5208/8441 is 31/6870974.