GCF of 8499/170, 7719/5308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8499/170, 7719/5308 i.e 3/451180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8499/170, 7719/5308.
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 8499/170,7719/5308?
Given fractions are 8499/170,7719/5308
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 8499/170,7719/5308, numerators are 8499,7719
Denominators are 170,5308
The GCF of 8499,7719 is 3 .
LCM of 170,5308 is 451180.
The greatest common factor of 8499/170,7719/5308 = [GCF of 8499,7719]/[LCM of 170,5308]= 3/451180
Therefore, the GCF of 8499/170,7719/5308 is 3/451180.
To find the highest common factor of 8499,7719, we have to find the factors of both numbers and list the highest common factor.
The factors of 8499 are 1, 3, 2833, 8499
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The HCF of 8499,7719 is 3.
Lets's calculate GCF of 8499,7719
| 3 | 8499, 7719 |
| 2833, 2573 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8499,7719 By Matching Biggest Common Factor Method
Now, list down the factors of 8499
:1,3,2833,8499
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Greatest Common Factor
We found the factors 8499,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 8499,7719 is 3.
Lets's calculate LCM of 170,5308
| 2 | 170, 5308 |
| 85, 2654 |
∴ So the LCM of the given numbers is 2 x 85 x 2654 = 451180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/451180
Therefore, the GCF of Fractions 8499/170,7719/5308 is 3/451180
Least Common Multiple of 170,5308 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 170,5308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,5308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,5308) x common factors =2 x 1 = 2
LCM(170,5308) = ( 170 × 5308 ) / 2
LCM(170,5308) = 902360 / 2
LCM(170,5308) = 451180
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8499/170, 7719/5308
1. What is the HCF of 8499,7719?
The HCF of 8499,7719 is 3
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 8499/170, 7719/5308?
Answer: GCF of Numerators as per given numbers 8499/170, 7719/5308 is
GCF of Numerators i.e. for 8499,7719 is 3
LCM of denominators i.e. for 170,5308 is 451180.
Thus, GCF of Fractions is 3/451180.Finally, GCF of Fractions for 8499/170, 7719/5308 is 3/451180.