GCF of 8187/761, 7659/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8187/761, 7659/762 i.e 3/579882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8187/761, 7659/762.
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 8187/761,7659/762?
Given fractions are 8187/761,7659/762
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 8187/761,7659/762, numerators are 8187,7659
Denominators are 761,762
The GCF of 8187,7659 is 3 .
LCM of 761,762 is 579882.
The greatest common factor of 8187/761,7659/762 = [GCF of 8187,7659]/[LCM of 761,762]= 3/579882
Therefore, the GCF of 8187/761,7659/762 is 3/579882.
To find the highest common factor of 8187,7659, we have to find the factors of both numbers and list the highest common factor.
The factors of 8187 are 1, 3, 2729, 8187
The factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
The HCF of 8187,7659 is 3.
Lets's calculate GCF of 8187,7659
| 3 | 8187, 7659 |
| 2729, 2553 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8187,7659 By Matching Biggest Common Factor Method
Now, list down the factors of 8187
:1,3,2729,8187
Now, list down the factors of 7659
:1,3,9,23,37,69,111,207,333,851,2553,7659
Greatest Common Factor
We found the factors 8187,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,7659 is 3.
Lets's calculate LCM of 761,762
Given numbers has no common factors except 1. So, there LCM is their product i.e 579882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/579882
Therefore, the GCF of Fractions 8187/761,7659/762 is 3/579882
Least Common Multiple of 761,762 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 761,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,762) x common factors =1 x 1 = 1
LCM(761,762) = ( 761 × 762 ) / 1
LCM(761,762) = 579882 / 1
LCM(761,762) = 579882
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8187/761, 7659/762
1. What is the HCF of 8187,7659?
The HCF of 8187,7659 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 8187/761, 7659/762?
Answer: GCF of Numerators as per given numbers 8187/761, 7659/762 is
GCF of Numerators i.e. for 8187,7659 is 3
LCM of denominators i.e. for 761,762 is 579882.
Thus, GCF of Fractions is 3/579882.Finally, GCF of Fractions for 8187/761, 7659/762 is 3/579882.