GCF of 7782/207, 8731/549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7782/207, 8731/549 i.e 1/12627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7782/207, 8731/549.
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 7782/207,8731/549?
Given fractions are 7782/207,8731/549
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 7782/207,8731/549, numerators are 7782,8731
Denominators are 207,549
The GCF of 7782,8731 is 1 .
LCM of 207,549 is 12627.
The greatest common factor of 7782/207,8731/549 = [GCF of 7782,8731]/[LCM of 207,549]= 1/12627
Therefore, the GCF of 7782/207,8731/549 is 1/12627.
To find the highest common factor of 7782,8731, we have to find the factors of both numbers and list the highest common factor.
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The factors of 8731 are 1, 8731
The HCF of 7782,8731 is 1.
Lets's calculate GCF of 7782,8731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7782,8731 By Matching Biggest Common Factor Method
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Now, list down the factors of 8731
:1,8731
Greatest Common Factor
We found the factors 7782,8731 . The biggest common factor number is the GCF number.
So the greatest common factor 7782,8731 is 1.
Lets's calculate LCM of 207,549
| 3 | 207, 549 |
| 3 | 69, 183 |
| 23, 61 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 61 = 12627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12627
Therefore, the GCF of Fractions 7782/207,8731/549 is 1/12627
Least Common Multiple of 207,549 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 207,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,549) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,549) x common factors =9 x 1 = 9
LCM(207,549) = ( 207 × 549 ) / 9
LCM(207,549) = 113643 / 9
LCM(207,549) = 12627
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7782/207, 8731/549
1. What is the HCF of 7782,8731?
The HCF of 7782,8731 is 1
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 7782/207, 8731/549?
Answer: GCF of Numerators as per given numbers 7782/207, 8731/549 is
GCF of Numerators i.e. for 7782,8731 is 1
LCM of denominators i.e. for 207,549 is 12627.
Thus, GCF of Fractions is 1/12627.Finally, GCF of Fractions for 7782/207, 8731/549 is 1/12627.