Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8672/883,7421/3210
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 8672,7421
Greatest Common Factor of Numerators i.e. GCF of 8672,7421 is 1 .
LCM of Denominators means LCM of 883,3210 as per the given fractions.
LCM of 883,3210 is 2834430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8672,7421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8672
List of positive integer factors of 8672 that divides 8672 without a remainder.
1,2,4,8,16,32,271,542,1084,2168,4336,8672
Factors of 7421
List of positive integer factors of 7421 that divides 7421 without a remainder.
1,41,181,7421
Greatest Common Factor
We found the factors 8672,7421 . The biggest common factor number is the GCF number.
So the greatest common factor 8672,7421 is 1.
Lets's calculate LCM of 883,3210
Given numbers has no common factors except 1. So, there LCM is their product i.e 2834430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2834430
Therefore, the GCF of Fractions 8672/883,7421/3210 is 1/2834430
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 883,3210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,3210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,3210) x common factors =1 x 1 = 1
LCM(883,3210) = ( 883 × 3210 ) / 1
LCM(883,3210) = 2834430 / 1
LCM(883,3210) = 2834430
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 8672/883, 7421/3210?
Answer: GCF of Numerators as per given numbers 8672/883, 7421/3210 is
GCF of Numerators i.e. for 8672,7421 is 1
LCM of denominators i.e. for 883,3210 is 2834430.
Thus, GCF of Fractions is 1/2834430.Finally, GCF of Fractions for 8672/883, 7421/3210 is 1/2834430.