Use our free GCF of Fractions Calculator tool to compute the GCF of 792/770, 4163/8466 i.e 1/3259410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/770, 4163/8466.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/770,4163/8466
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 792/770,4163/8466, numerators are 792,4163
Denominators are 770,8466
The GCF of 792,4163 is 1 .
LCM of 770,8466 is 3259410.
The greatest common factor of 792/770,4163/8466 = [GCF of 792,4163]/[LCM of 770,8466]= 1/3259410
Therefore, the GCF of 792/770,4163/8466 is 1/3259410.
To find the highest common factor of 792,4163, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 4163 are 1, 23, 181, 4163
The HCF of 792,4163 is 1.
Lets's calculate GCF of 792,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 4163
:1,23,181,4163
Greatest Common Factor
We found the factors 792,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 792,4163 is 1.
Lets's calculate LCM of 770,8466
2 | 770, 8466 |
385, 4233 |
∴ So the LCM of the given numbers is 2 x 385 x 4233 = 3259410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3259410
Therefore, the GCF of Fractions 792/770,4163/8466 is 1/3259410
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 770,8466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,8466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(770,8466) x common factors =2 x 1 = 2
LCM(770,8466) = ( 770 × 8466 ) / 2
LCM(770,8466) = 6518820 / 2
LCM(770,8466) = 3259410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 792,4163?
The HCF of 792,4163 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 792/770, 4163/8466?
Answer: GCF of Numerators as per given numbers 792/770, 4163/8466 is
GCF of Numerators i.e. for 792,4163 is 1
LCM of denominators i.e. for 770,8466 is 3259410.
Thus, GCF of Fractions is 1/3259410.Finally, GCF of Fractions for 792/770, 4163/8466 is 1/3259410.