GCF of 8455/819, 7715/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8455/819, 7715/788 i.e 5/645372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8455/819, 7715/788.
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 8455/819,7715/788?
Given fractions are 8455/819,7715/788
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 8455/819,7715/788, numerators are 8455,7715
Denominators are 819,788
The GCF of 8455,7715 is 5 .
LCM of 819,788 is 645372.
The greatest common factor of 8455/819,7715/788 = [GCF of 8455,7715]/[LCM of 819,788]= 5/645372
Therefore, the GCF of 8455/819,7715/788 is 5/645372.
To find the highest common factor of 8455,7715, we have to find the factors of both numbers and list the highest common factor.
The factors of 8455 are 1, 5, 19, 89, 95, 445, 1691, 8455
The factors of 7715 are 1, 5, 1543, 7715
The HCF of 8455,7715 is 5.
Lets's calculate GCF of 8455,7715
| 5 | 8455, 7715 |
| 1691, 1543 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8455,7715 By Matching Biggest Common Factor Method
Now, list down the factors of 8455
:1,5,19,89,95,445,1691,8455
Now, list down the factors of 7715
:1,5,1543,7715
Greatest Common Factor
We found the factors 8455,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 8455,7715 is 5.
Lets's calculate LCM of 819,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 645372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/645372
Therefore, the GCF of Fractions 8455/819,7715/788 is 5/645372
Least Common Multiple of 819,788 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 819,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,788) x common factors =1 x 1 = 1
LCM(819,788) = ( 819 × 788 ) / 1
LCM(819,788) = 645372 / 1
LCM(819,788) = 645372
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8455/819, 7715/788
1. What is the HCF of 8455,7715?
The HCF of 8455,7715 is 5
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 8455/819, 7715/788?
Answer: GCF of Numerators as per given numbers 8455/819, 7715/788 is
GCF of Numerators i.e. for 8455,7715 is 5
LCM of denominators i.e. for 819,788 is 645372.
Thus, GCF of Fractions is 5/645372.Finally, GCF of Fractions for 8455/819, 7715/788 is 5/645372.