GCF of 851/789, 8140/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 851/789, 8140/605 i.e 37/477345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/789, 8140/605.
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 851/789,8140/605?
Given fractions are 851/789,8140/605
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 851/789,8140/605, numerators are 851,8140
Denominators are 789,605
The GCF of 851,8140 is 37 .
LCM of 789,605 is 477345.
The greatest common factor of 851/789,8140/605 = [GCF of 851,8140]/[LCM of 789,605]= 37/477345
Therefore, the GCF of 851/789,8140/605 is 37/477345.
To find the highest common factor of 851,8140, we have to find the factors of both numbers and list the highest common factor.
The factors of 851 are 1, 23, 37, 851
The factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140
The HCF of 851,8140 is 37.
Lets's calculate GCF of 851,8140
| 37 | 851, 8140 |
| 23, 220 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 851,8140 By Matching Biggest Common Factor Method
Now, list down the factors of 851
:1,23,37,851
Now, list down the factors of 8140
:1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 851,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 851,8140 is 37.
Lets's calculate LCM of 789,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 477345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/477345
Therefore, the GCF of Fractions 851/789,8140/605 is 37/477345
Least Common Multiple of 789,605 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 789,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(789,605) x common factors =1 x 1 = 1
LCM(789,605) = ( 789 × 605 ) / 1
LCM(789,605) = 477345 / 1
LCM(789,605) = 477345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 851/789, 8140/605
1. What is the HCF of 851,8140?
The HCF of 851,8140 is 37
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 851/789, 8140/605?
Answer: GCF of Numerators as per given numbers 851/789, 8140/605 is
GCF of Numerators i.e. for 851,8140 is 37
LCM of denominators i.e. for 789,605 is 477345.
Thus, GCF of Fractions is 37/477345.Finally, GCF of Fractions for 851/789, 8140/605 is 37/477345.