Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/399,5280/1753
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 847,5280
Greatest Common Factor of Numerators i.e. GCF of 847,5280 is 11 .
LCM of Denominators means LCM of 399,1753 as per the given fractions.
LCM of 399,1753 is 699447 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,5280
11 | 847, 5280 |
77, 480 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 5280
List of positive integer factors of 5280 that divides 5280 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280
Greatest Common Factor
We found the factors 847,5280 . The biggest common factor number is the GCF number.
So the greatest common factor 847,5280 is 11.
Lets's calculate LCM of 399,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 699447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/699447
Therefore, the GCF of Fractions 847/399,5280/1753 is 11/699447
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 399,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,1753) x common factors =1 x 1 = 1
LCM(399,1753) = ( 399 × 1753 ) / 1
LCM(399,1753) = 699447 / 1
LCM(399,1753) = 699447
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 847/399, 5280/1753?
Answer: GCF of Numerators as per given numbers 847/399, 5280/1753 is
GCF of Numerators i.e. for 847,5280 is 11
LCM of denominators i.e. for 399,1753 is 699447.
Thus, GCF of Fractions is 11/699447.Finally, GCF of Fractions for 847/399, 5280/1753 is 11/699447.