Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7642/93,6896/326
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 7642,6896
Greatest Common Factor of Numerators i.e. GCF of 7642,6896 is 2 .
LCM of Denominators means LCM of 93,326 as per the given fractions.
LCM of 93,326 is 30318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7642,6896
2 | 7642, 6896 |
3821, 3448 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7642
List of positive integer factors of 7642 that divides 7642 without a remainder.
1,2,3821,7642
Factors of 6896
List of positive integer factors of 6896 that divides 6896 without a remainder.
1,2,4,8,16,431,862,1724,3448,6896
Greatest Common Factor
We found the factors 7642,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,6896 is 2.
Lets's calculate LCM of 93,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 30318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30318
Therefore, the GCF of Fractions 7642/93,6896/326 is 2/30318
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 93,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,326) x common factors =1 x 1 = 1
LCM(93,326) = ( 93 × 326 ) / 1
LCM(93,326) = 30318 / 1
LCM(93,326) = 30318
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 7642/93, 6896/326?
Answer: GCF of Numerators as per given numbers 7642/93, 6896/326 is
GCF of Numerators i.e. for 7642,6896 is 2
LCM of denominators i.e. for 93,326 is 30318.
Thus, GCF of Fractions is 2/30318.Finally, GCF of Fractions for 7642/93, 6896/326 is 2/30318.