Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/943,807/976
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 10,807
Greatest Common Factor of Numerators i.e. GCF of 10,807 is 1 .
LCM of Denominators means LCM of 943,976 as per the given fractions.
LCM of 943,976 is 920368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Greatest Common Factor
We found the factors 10,807 . The biggest common factor number is the GCF number.
So the greatest common factor 10,807 is 1.
Lets's calculate LCM of 943,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 920368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/920368
Therefore, the GCF of Fractions 10/943,807/976 is 1/920368
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 943,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,976) x common factors =1 x 1 = 1
LCM(943,976) = ( 943 × 976 ) / 1
LCM(943,976) = 920368 / 1
LCM(943,976) = 920368
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 10/943, 807/976?
Answer: GCF of Numerators as per given numbers 10/943, 807/976 is
GCF of Numerators i.e. for 10,807 is 1
LCM of denominators i.e. for 943,976 is 920368.
Thus, GCF of Fractions is 1/920368.Finally, GCF of Fractions for 10/943, 807/976 is 1/920368.