GCF of 3271/780, 2916/2485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3271/780, 2916/2485 i.e 1/387660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3271/780, 2916/2485.
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 3271/780,2916/2485?
Given fractions are 3271/780,2916/2485
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 3271/780,2916/2485, numerators are 3271,2916
Denominators are 780,2485
The GCF of 3271,2916 is 1 .
LCM of 780,2485 is 387660.
The greatest common factor of 3271/780,2916/2485 = [GCF of 3271,2916]/[LCM of 780,2485]= 1/387660
Therefore, the GCF of 3271/780,2916/2485 is 1/387660.
To find the highest common factor of 3271,2916, we have to find the factors of both numbers and list the highest common factor.
The factors of 3271 are 1, 3271
The factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916
The HCF of 3271,2916 is 1.
Lets's calculate GCF of 3271,2916
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3271,2916 By Matching Biggest Common Factor Method
Now, list down the factors of 3271
:1,3271
Now, list down the factors of 2916
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916
Greatest Common Factor
We found the factors 3271,2916 . The biggest common factor number is the GCF number.
So the greatest common factor 3271,2916 is 1.
Lets's calculate LCM of 780,2485
| 5 | 780, 2485 |
| 156, 497 |
∴ So the LCM of the given numbers is 5 x 156 x 497 = 387660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387660
Therefore, the GCF of Fractions 3271/780,2916/2485 is 1/387660
Least Common Multiple of 780,2485 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 780,2485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,2485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(780,2485) x common factors =5 x 1 = 5
LCM(780,2485) = ( 780 × 2485 ) / 5
LCM(780,2485) = 1938300 / 5
LCM(780,2485) = 387660
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FAQs on GCF of Fractions of 3271/780, 2916/2485
1. What is the HCF of 3271,2916?
The HCF of 3271,2916 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 3271/780, 2916/2485?
Answer: GCF of Numerators as per given numbers 3271/780, 2916/2485 is
GCF of Numerators i.e. for 3271,2916 is 1
LCM of denominators i.e. for 780,2485 is 387660.
Thus, GCF of Fractions is 1/387660.Finally, GCF of Fractions for 3271/780, 2916/2485 is 1/387660.