Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5851/641,3242/7622
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 5851,3242
Greatest Common Factor of Numerators i.e. GCF of 5851,3242 is 1 .
LCM of Denominators means LCM of 641,7622 as per the given fractions.
LCM of 641,7622 is 4885702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5851,3242
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5851
List of positive integer factors of 5851 that divides 5851 without a remainder.
1,5851
Factors of 3242
List of positive integer factors of 3242 that divides 3242 without a remainder.
1,2,1621,3242
Greatest Common Factor
We found the factors 5851,3242 . The biggest common factor number is the GCF number.
So the greatest common factor 5851,3242 is 1.
Lets's calculate LCM of 641,7622
Given numbers has no common factors except 1. So, there LCM is their product i.e 4885702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4885702
Therefore, the GCF of Fractions 5851/641,3242/7622 is 1/4885702
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 641,7622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,7622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,7622) x common factors =1 x 1 = 1
LCM(641,7622) = ( 641 × 7622 ) / 1
LCM(641,7622) = 4885702 / 1
LCM(641,7622) = 4885702
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 5851/641, 3242/7622?
Answer: GCF of Numerators as per given numbers 5851/641, 3242/7622 is
GCF of Numerators i.e. for 5851,3242 is 1
LCM of denominators i.e. for 641,7622 is 4885702.
Thus, GCF of Fractions is 1/4885702.Finally, GCF of Fractions for 5851/641, 3242/7622 is 1/4885702.