Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7485/568,3170/281
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 7485,3170
Greatest Common Factor of Numerators i.e. GCF of 7485,3170 is 5 .
LCM of Denominators means LCM of 568,281 as per the given fractions.
LCM of 568,281 is 159608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7485,3170
5 | 7485, 3170 |
1497, 634 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 7485
List of positive integer factors of 7485 that divides 7485 without a remainder.
1,3,5,15,499,1497,2495,7485
Factors of 3170
List of positive integer factors of 3170 that divides 3170 without a remainder.
1,2,5,10,317,634,1585,3170
Greatest Common Factor
We found the factors 7485,3170 . The biggest common factor number is the GCF number.
So the greatest common factor 7485,3170 is 5.
Lets's calculate LCM of 568,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 159608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/159608
Therefore, the GCF of Fractions 7485/568,3170/281 is 5/159608
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 568,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,281) x common factors =1 x 1 = 1
LCM(568,281) = ( 568 × 281 ) / 1
LCM(568,281) = 159608 / 1
LCM(568,281) = 159608
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 7485/568, 3170/281?
Answer: GCF of Numerators as per given numbers 7485/568, 3170/281 is
GCF of Numerators i.e. for 7485,3170 is 5
LCM of denominators i.e. for 568,281 is 159608.
Thus, GCF of Fractions is 5/159608.Finally, GCF of Fractions for 7485/568, 3170/281 is 5/159608.