Use our free GCF of Fractions Calculator tool to compute the GCF of 7021/772, 6794/2205 i.e 1/1702260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7021/772, 6794/2205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7021/772,6794/2205
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 7021/772,6794/2205, numerators are 7021,6794
Denominators are 772,2205
The GCF of 7021,6794 is 1 .
LCM of 772,2205 is 1702260.
The greatest common factor of 7021/772,6794/2205 = [GCF of 7021,6794]/[LCM of 772,2205]= 1/1702260
Therefore, the GCF of 7021/772,6794/2205 is 1/1702260.
To find the highest common factor of 7021,6794, we have to find the factors of both numbers and list the highest common factor.
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794
The HCF of 7021,6794 is 1.
Lets's calculate GCF of 7021,6794
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Now, list down the factors of 6794
:1,2,43,79,86,158,3397,6794
Greatest Common Factor
We found the factors 7021,6794 . The biggest common factor number is the GCF number.
So the greatest common factor 7021,6794 is 1.
Lets's calculate LCM of 772,2205
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702260
Therefore, the GCF of Fractions 7021/772,6794/2205 is 1/1702260
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 772,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,2205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,2205) x common factors =1 x 1 = 1
LCM(772,2205) = ( 772 × 2205 ) / 1
LCM(772,2205) = 1702260 / 1
LCM(772,2205) = 1702260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7021,6794?
The HCF of 7021,6794 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 7021/772, 6794/2205?
Answer: GCF of Numerators as per given numbers 7021/772, 6794/2205 is
GCF of Numerators i.e. for 7021,6794 is 1
LCM of denominators i.e. for 772,2205 is 1702260.
Thus, GCF of Fractions is 1/1702260.Finally, GCF of Fractions for 7021/772, 6794/2205 is 1/1702260.