GCF of 6083/878, 7315/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6083/878, 7315/2108 i.e 77/925412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6083/878, 7315/2108.
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 6083/878,7315/2108?
Given fractions are 6083/878,7315/2108
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 6083/878,7315/2108, numerators are 6083,7315
Denominators are 878,2108
The GCF of 6083,7315 is 77 .
LCM of 878,2108 is 925412.
The greatest common factor of 6083/878,7315/2108 = [GCF of 6083,7315]/[LCM of 878,2108]= 77/925412
Therefore, the GCF of 6083/878,7315/2108 is 77/925412.
To find the highest common factor of 6083,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 6083 are 1, 7, 11, 77, 79, 553, 869, 6083
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 6083,7315 is 77.
Lets's calculate GCF of 6083,7315
| 7 | 6083, 7315 |
| 11 | 869, 1045 |
| 79, 95 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Greatest Common Factor of 6083,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 6083
:1,7,11,77,79,553,869,6083
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 6083,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 6083,7315 is 77.
Lets's calculate LCM of 878,2108
| 2 | 878, 2108 |
| 439, 1054 |
∴ So the LCM of the given numbers is 2 x 439 x 1054 = 925412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/925412
Therefore, the GCF of Fractions 6083/878,7315/2108 is 77/925412
Least Common Multiple of 878,2108 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 878,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,2108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,2108) x common factors =2 x 1 = 2
LCM(878,2108) = ( 878 × 2108 ) / 2
LCM(878,2108) = 1850824 / 2
LCM(878,2108) = 925412
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6083/878, 7315/2108
1. What is the HCF of 6083,7315?
The HCF of 6083,7315 is 77
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 6083/878, 7315/2108?
Answer: GCF of Numerators as per given numbers 6083/878, 7315/2108 is
GCF of Numerators i.e. for 6083,7315 is 77
LCM of denominators i.e. for 878,2108 is 925412.
Thus, GCF of Fractions is 77/925412.Finally, GCF of Fractions for 6083/878, 7315/2108 is 77/925412.