GCF of 6079/168, 7566/8505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6079/168, 7566/8505 i.e 1/68040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6079/168, 7566/8505.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6079/168,7566/8505?
Given fractions are 6079/168,7566/8505
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 6079/168,7566/8505, numerators are 6079,7566
Denominators are 168,8505
The GCF of 6079,7566 is 1 .
LCM of 168,8505 is 68040.
The greatest common factor of 6079/168,7566/8505 = [GCF of 6079,7566]/[LCM of 168,8505]= 1/68040
Therefore, the GCF of 6079/168,7566/8505 is 1/68040.
To find the highest common factor of 6079,7566, we have to find the factors of both numbers and list the highest common factor.
The factors of 6079 are 1, 6079
The factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566
The HCF of 6079,7566 is 1.
Lets's calculate GCF of 6079,7566
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6079,7566 By Matching Biggest Common Factor Method
Now, list down the factors of 6079
:1,6079
Now, list down the factors of 7566
:1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Greatest Common Factor
We found the factors 6079,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 6079,7566 is 1.
Lets's calculate LCM of 168,8505
| 3 | 168, 8505 |
| 7 | 56, 2835 |
| 8, 405 |
∴ So the LCM of the given numbers is 3 x 7 x 8 x 405 = 68040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68040
Therefore, the GCF of Fractions 6079/168,7566/8505 is 1/68040
Least Common Multiple of 168,8505 with GCF Formula
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 168,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,8505) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(168,8505) x common factors =21 x 1 = 21
LCM(168,8505) = ( 168 × 8505 ) / 21
LCM(168,8505) = 1428840 / 21
LCM(168,8505) = 68040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6079/168, 7566/8505
1. What is the HCF of 6079,7566?
The HCF of 6079,7566 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 6079/168, 7566/8505?
Answer: GCF of Numerators as per given numbers 6079/168, 7566/8505 is
GCF of Numerators i.e. for 6079,7566 is 1
LCM of denominators i.e. for 168,8505 is 68040.
Thus, GCF of Fractions is 1/68040.Finally, GCF of Fractions for 6079/168, 7566/8505 is 1/68040.