Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6991/673,4184/520
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 6991,4184
Greatest Common Factor of Numerators i.e. GCF of 6991,4184 is 1 .
LCM of Denominators means LCM of 673,520 as per the given fractions.
LCM of 673,520 is 349960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6991,4184
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1,6991
Factors of 4184
List of positive integer factors of 4184 that divides 4184 without a remainder.
1,2,4,8,523,1046,2092,4184
Greatest Common Factor
We found the factors 6991,4184 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,4184 is 1.
Lets's calculate LCM of 673,520
Given numbers has no common factors except 1. So, there LCM is their product i.e 349960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349960
Therefore, the GCF of Fractions 6991/673,4184/520 is 1/349960
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 673,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,520) x common factors =1 x 1 = 1
LCM(673,520) = ( 673 × 520 ) / 1
LCM(673,520) = 349960 / 1
LCM(673,520) = 349960
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 6991/673, 4184/520?
Answer: GCF of Numerators as per given numbers 6991/673, 4184/520 is
GCF of Numerators i.e. for 6991,4184 is 1
LCM of denominators i.e. for 673,520 is 349960.
Thus, GCF of Fractions is 1/349960.Finally, GCF of Fractions for 6991/673, 4184/520 is 1/349960.