Use our free GCF of Fractions Calculator tool to compute the GCF of 844/627, 669/886 i.e 1/555522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/627, 669/886.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/627,669/886
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 844/627,669/886, numerators are 844,669
Denominators are 627,886
The GCF of 844,669 is 1 .
LCM of 627,886 is 555522.
The greatest common factor of 844/627,669/886 = [GCF of 844,669]/[LCM of 627,886]= 1/555522
Therefore, the GCF of 844/627,669/886 is 1/555522.
To find the highest common factor of 844,669, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 669 are 1, 3, 223, 669
The HCF of 844,669 is 1.
Lets's calculate GCF of 844,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 669
:1,3,223,669
Greatest Common Factor
We found the factors 844,669 . The biggest common factor number is the GCF number.
So the greatest common factor 844,669 is 1.
Lets's calculate LCM of 627,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 555522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555522
Therefore, the GCF of Fractions 844/627,669/886 is 1/555522
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 627,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,886) x common factors =1 x 1 = 1
LCM(627,886) = ( 627 × 886 ) / 1
LCM(627,886) = 555522 / 1
LCM(627,886) = 555522
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,669?
The HCF of 844,669 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 844/627, 669/886?
Answer: GCF of Numerators as per given numbers 844/627, 669/886 is
GCF of Numerators i.e. for 844,669 is 1
LCM of denominators i.e. for 627,886 is 555522.
Thus, GCF of Fractions is 1/555522.Finally, GCF of Fractions for 844/627, 669/886 is 1/555522.