Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 107/623,623/904
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 107,623
Greatest Common Factor of Numerators i.e. GCF of 107,623 is 1 .
LCM of Denominators means LCM of 623,904 as per the given fractions.
LCM of 623,904 is 563192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 107,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 107,623 . The biggest common factor number is the GCF number.
So the greatest common factor 107,623 is 1.
Lets's calculate LCM of 623,904
Given numbers has no common factors except 1. So, there LCM is their product i.e 563192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563192
Therefore, the GCF of Fractions 107/623,623/904 is 1/563192
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 623,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,904) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,904) x common factors =1 x 1 = 1
LCM(623,904) = ( 623 × 904 ) / 1
LCM(623,904) = 563192 / 1
LCM(623,904) = 563192
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 107/623, 623/904?
Answer: GCF of Numerators as per given numbers 107/623, 623/904 is
GCF of Numerators i.e. for 107,623 is 1
LCM of denominators i.e. for 623,904 is 563192.
Thus, GCF of Fractions is 1/563192.Finally, GCF of Fractions for 107/623, 623/904 is 1/563192.