Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9342/721,7382/5870
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 9342,7382
Greatest Common Factor of Numerators i.e. GCF of 9342,7382 is 2 .
LCM of Denominators means LCM of 721,5870 as per the given fractions.
LCM of 721,5870 is 4232270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9342,7382
2 | 9342, 7382 |
4671, 3691 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9342
List of positive integer factors of 9342 that divides 9342 without a remainder.
1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Factors of 7382
List of positive integer factors of 7382 that divides 7382 without a remainder.
1,2,3691,7382
Greatest Common Factor
We found the factors 9342,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 9342,7382 is 2.
Lets's calculate LCM of 721,5870
Given numbers has no common factors except 1. So, there LCM is their product i.e 4232270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4232270
Therefore, the GCF of Fractions 9342/721,7382/5870 is 2/4232270
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 721,5870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,5870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,5870) x common factors =1 x 1 = 1
LCM(721,5870) = ( 721 × 5870 ) / 1
LCM(721,5870) = 4232270 / 1
LCM(721,5870) = 4232270
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 9342/721, 7382/5870?
Answer: GCF of Numerators as per given numbers 9342/721, 7382/5870 is
GCF of Numerators i.e. for 9342,7382 is 2
LCM of denominators i.e. for 721,5870 is 4232270.
Thus, GCF of Fractions is 2/4232270.Finally, GCF of Fractions for 9342/721, 7382/5870 is 2/4232270.