Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6249/480,8664/847
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 6249,8664
Greatest Common Factor of Numerators i.e. GCF of 6249,8664 is 3 .
LCM of Denominators means LCM of 480,847 as per the given fractions.
LCM of 480,847 is 406560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6249,8664
3 | 6249, 8664 |
2083, 2888 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1,3,2083,6249
Factors of 8664
List of positive integer factors of 8664 that divides 8664 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 6249,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 6249,8664 is 3.
Lets's calculate LCM of 480,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 406560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/406560
Therefore, the GCF of Fractions 6249/480,8664/847 is 3/406560
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 480,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(480,847) x common factors =1 x 1 = 1
LCM(480,847) = ( 480 × 847 ) / 1
LCM(480,847) = 406560 / 1
LCM(480,847) = 406560
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 6249/480, 8664/847?
Answer: GCF of Numerators as per given numbers 6249/480, 8664/847 is
GCF of Numerators i.e. for 6249,8664 is 3
LCM of denominators i.e. for 480,847 is 406560.
Thus, GCF of Fractions is 3/406560.Finally, GCF of Fractions for 6249/480, 8664/847 is 3/406560.