Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6696/939,9280/7241
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 6696,9280
Greatest Common Factor of Numerators i.e. GCF of 6696,9280 is 8 .
LCM of Denominators means LCM of 939,7241 as per the given fractions.
LCM of 939,7241 is 6799299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6696,9280
2 | 6696, 9280 |
2 | 3348, 4640 |
2 | 1674, 2320 |
837, 1160 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6696
List of positive integer factors of 6696 that divides 6696 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696
Factors of 9280
List of positive integer factors of 9280 that divides 9280 without a remainder.
1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280
Greatest Common Factor
We found the factors 6696,9280 . The biggest common factor number is the GCF number.
So the greatest common factor 6696,9280 is 8.
Lets's calculate LCM of 939,7241
Given numbers has no common factors except 1. So, there LCM is their product i.e 6799299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6799299
Therefore, the GCF of Fractions 6696/939,9280/7241 is 8/6799299
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 939,7241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,7241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,7241) x common factors =1 x 1 = 1
LCM(939,7241) = ( 939 × 7241 ) / 1
LCM(939,7241) = 6799299 / 1
LCM(939,7241) = 6799299
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 6696/939, 9280/7241?
Answer: GCF of Numerators as per given numbers 6696/939, 9280/7241 is
GCF of Numerators i.e. for 6696,9280 is 8
LCM of denominators i.e. for 939,7241 is 6799299.
Thus, GCF of Fractions is 8/6799299.Finally, GCF of Fractions for 6696/939, 9280/7241 is 8/6799299.