Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 943/29,796/88,894/197
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 943,796,894
Greatest Common Factor of Numerators i.e. GCF of 943,796,894 is 1 .
LCM of Denominators means LCM of 29,88,197 as per the given fractions.
LCM of 29,88,197 is 502744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 943,796,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 943,796,894 . The biggest common factor number is the GCF number.
So the greatest common factor 943,796,894 is 1.
Lets's calculate LCM of 29,88,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 502744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502744
Therefore, the GCF of Fractions 943/29,796/88,894/197 is 1/502744
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 29,88,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,88,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,88,197) x common factors =1 x 1 = 1
LCM(29,88,197) = ( 29 × 88 × 197 ) / 1
LCM(29,88,197) = 502744 / 1
LCM(29,88,197) = 502744
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 943/29, 796/88, 894/197?
Answer: GCF of Numerators as per given numbers 943/29, 796/88, 894/197 is
GCF of Numerators i.e. for 943,796,894 is 1
LCM of denominators i.e. for 29,88,197 is 502744.
Thus, GCF of Fractions is 1/502744.Finally, GCF of Fractions for 943/29, 796/88, 894/197 is 1/502744.