GCF of 1701/785, 8007/7821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1701/785, 8007/7821 i.e 3/6139485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1701/785, 8007/7821.
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 1701/785,8007/7821?
Given fractions are 1701/785,8007/7821
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 1701/785,8007/7821, numerators are 1701,8007
Denominators are 785,7821
The GCF of 1701,8007 is 3 .
LCM of 785,7821 is 6139485.
The greatest common factor of 1701/785,8007/7821 = [GCF of 1701,8007]/[LCM of 785,7821]= 3/6139485
Therefore, the GCF of 1701/785,8007/7821 is 3/6139485.
To find the highest common factor of 1701,8007, we have to find the factors of both numbers and list the highest common factor.
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
The factors of 8007 are 1, 3, 17, 51, 157, 471, 2669, 8007
The HCF of 1701,8007 is 3.
Lets's calculate GCF of 1701,8007
| 3 | 1701, 8007 |
| 567, 2669 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1701,8007 By Matching Biggest Common Factor Method
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
Now, list down the factors of 8007
:1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 1701,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 1701,8007 is 3.
Lets's calculate LCM of 785,7821
Given numbers has no common factors except 1. So, there LCM is their product i.e 6139485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6139485
Therefore, the GCF of Fractions 1701/785,8007/7821 is 3/6139485
Least Common Multiple of 785,7821 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 785,7821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,7821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,7821) x common factors =1 x 1 = 1
LCM(785,7821) = ( 785 × 7821 ) / 1
LCM(785,7821) = 6139485 / 1
LCM(785,7821) = 6139485
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1701/785, 8007/7821
1. What is the HCF of 1701,8007?
The HCF of 1701,8007 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 1701/785, 8007/7821?
Answer: GCF of Numerators as per given numbers 1701/785, 8007/7821 is
GCF of Numerators i.e. for 1701,8007 is 3
LCM of denominators i.e. for 785,7821 is 6139485.
Thus, GCF of Fractions is 3/6139485.Finally, GCF of Fractions for 1701/785, 8007/7821 is 3/6139485.