Use our free GCF of Fractions Calculator tool to compute the GCF of 1642/823, 1655/4967 i.e 1/4087841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1642/823, 1655/4967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1642/823,1655/4967
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 1642/823,1655/4967, numerators are 1642,1655
Denominators are 823,4967
The GCF of 1642,1655 is 1 .
LCM of 823,4967 is 4087841.
The greatest common factor of 1642/823,1655/4967 = [GCF of 1642,1655]/[LCM of 823,4967]= 1/4087841
Therefore, the GCF of 1642/823,1655/4967 is 1/4087841.
To find the highest common factor of 1642,1655, we have to find the factors of both numbers and list the highest common factor.
The factors of 1642 are 1, 2, 821, 1642
The factors of 1655 are 1, 5, 331, 1655
The HCF of 1642,1655 is 1.
Lets's calculate GCF of 1642,1655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1642
:1,2,821,1642
Now, list down the factors of 1655
:1,5,331,1655
Greatest Common Factor
We found the factors 1642,1655 . The biggest common factor number is the GCF number.
So the greatest common factor 1642,1655 is 1.
Lets's calculate LCM of 823,4967
Given numbers has no common factors except 1. So, there LCM is their product i.e 4087841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4087841
Therefore, the GCF of Fractions 1642/823,1655/4967 is 1/4087841
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 823,4967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,4967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,4967) x common factors =1 x 1 = 1
LCM(823,4967) = ( 823 × 4967 ) / 1
LCM(823,4967) = 4087841 / 1
LCM(823,4967) = 4087841
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1642,1655?
The HCF of 1642,1655 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 1642/823, 1655/4967?
Answer: GCF of Numerators as per given numbers 1642/823, 1655/4967 is
GCF of Numerators i.e. for 1642,1655 is 1
LCM of denominators i.e. for 823,4967 is 4087841.
Thus, GCF of Fractions is 1/4087841.Finally, GCF of Fractions for 1642/823, 1655/4967 is 1/4087841.