Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2979/794,3588/907
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 2979,3588
Greatest Common Factor of Numerators i.e. GCF of 2979,3588 is 3 .
LCM of Denominators means LCM of 794,907 as per the given fractions.
LCM of 794,907 is 720158 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2979,3588
3 | 2979, 3588 |
993, 1196 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2979
List of positive integer factors of 2979 that divides 2979 without a remainder.
1,3,9,331,993,2979
Factors of 3588
List of positive integer factors of 3588 that divides 3588 without a remainder.
1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Greatest Common Factor
We found the factors 2979,3588 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,3588 is 3.
Lets's calculate LCM of 794,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 720158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/720158
Therefore, the GCF of Fractions 2979/794,3588/907 is 3/720158
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 794,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,907) x common factors =1 x 1 = 1
LCM(794,907) = ( 794 × 907 ) / 1
LCM(794,907) = 720158 / 1
LCM(794,907) = 720158
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 2979/794, 3588/907?
Answer: GCF of Numerators as per given numbers 2979/794, 3588/907 is
GCF of Numerators i.e. for 2979,3588 is 3
LCM of denominators i.e. for 794,907 is 720158.
Thus, GCF of Fractions is 3/720158.Finally, GCF of Fractions for 2979/794, 3588/907 is 3/720158.