Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/833,196/433,185/992
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 487,196,185
Greatest Common Factor of Numerators i.e. GCF of 487,196,185 is 1 .
LCM of Denominators means LCM of 833,433,992 as per the given fractions.
LCM of 833,433,992 is 357803488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,196,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 487,196,185 . The biggest common factor number is the GCF number.
So the greatest common factor 487,196,185 is 1.
Lets's calculate LCM of 833,433,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 357803488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357803488
Therefore, the GCF of Fractions 487/833,196/433,185/992 is 1/357803488
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 833,433,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,433,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,433,992) x common factors =1 x 1 = 1
LCM(833,433,992) = ( 833 × 433 × 992 ) / 1
LCM(833,433,992) = 357803488 / 1
LCM(833,433,992) = 357803488
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 487/833, 196/433, 185/992?
Answer: GCF of Numerators as per given numbers 487/833, 196/433, 185/992 is
GCF of Numerators i.e. for 487,196,185 is 1
LCM of denominators i.e. for 833,433,992 is 357803488.
Thus, GCF of Fractions is 1/357803488.Finally, GCF of Fractions for 487/833, 196/433, 185/992 is 1/357803488.