Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6904/874,4740/4125
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 6904,4740
Greatest Common Factor of Numerators i.e. GCF of 6904,4740 is 4 .
LCM of Denominators means LCM of 874,4125 as per the given fractions.
LCM of 874,4125 is 3605250 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6904,4740
2 | 6904, 4740 |
2 | 3452, 2370 |
1726, 1185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6904
List of positive integer factors of 6904 that divides 6904 without a remainder.
1,2,4,8,863,1726,3452,6904
Factors of 4740
List of positive integer factors of 4740 that divides 4740 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740
Greatest Common Factor
We found the factors 6904,4740 . The biggest common factor number is the GCF number.
So the greatest common factor 6904,4740 is 4.
Lets's calculate LCM of 874,4125
Given numbers has no common factors except 1. So, there LCM is their product i.e 3605250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3605250
Therefore, the GCF of Fractions 6904/874,4740/4125 is 4/3605250
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 874,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,4125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,4125) x common factors =1 x 1 = 1
LCM(874,4125) = ( 874 × 4125 ) / 1
LCM(874,4125) = 3605250 / 1
LCM(874,4125) = 3605250
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 6904/874, 4740/4125?
Answer: GCF of Numerators as per given numbers 6904/874, 4740/4125 is
GCF of Numerators i.e. for 6904,4740 is 4
LCM of denominators i.e. for 874,4125 is 3605250.
Thus, GCF of Fractions is 4/3605250.Finally, GCF of Fractions for 6904/874, 4740/4125 is 4/3605250.