GCF of 3876/981, 6325/1584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3876/981, 6325/1584 i.e 1/172656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/981, 6325/1584.
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 3876/981,6325/1584?
Given fractions are 3876/981,6325/1584
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 3876/981,6325/1584, numerators are 3876,6325
Denominators are 981,1584
The GCF of 3876,6325 is 1 .
LCM of 981,1584 is 172656.
The greatest common factor of 3876/981,6325/1584 = [GCF of 3876,6325]/[LCM of 981,1584]= 1/172656
Therefore, the GCF of 3876/981,6325/1584 is 1/172656.
To find the highest common factor of 3876,6325, we have to find the factors of both numbers and list the highest common factor.
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The factors of 6325 are 1, 5, 11, 23, 25, 55, 115, 253, 275, 575, 1265, 6325
The HCF of 3876,6325 is 1.
Lets's calculate GCF of 3876,6325
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3876,6325 By Matching Biggest Common Factor Method
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Now, list down the factors of 6325
:1,5,11,23,25,55,115,253,275,575,1265,6325
Greatest Common Factor
We found the factors 3876,6325 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,6325 is 1.
Lets's calculate LCM of 981,1584
| 3 | 981, 1584 |
| 3 | 327, 528 |
| 109, 176 |
∴ So the LCM of the given numbers is 3 x 3 x 109 x 176 = 172656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172656
Therefore, the GCF of Fractions 3876/981,6325/1584 is 1/172656
Least Common Multiple of 981,1584 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 981,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,1584) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(981,1584) x common factors =9 x 1 = 9
LCM(981,1584) = ( 981 × 1584 ) / 9
LCM(981,1584) = 1553904 / 9
LCM(981,1584) = 172656
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3876/981, 6325/1584
1. What is the HCF of 3876,6325?
The HCF of 3876,6325 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 3876/981, 6325/1584?
Answer: GCF of Numerators as per given numbers 3876/981, 6325/1584 is
GCF of Numerators i.e. for 3876,6325 is 1
LCM of denominators i.e. for 981,1584 is 172656.
Thus, GCF of Fractions is 1/172656.Finally, GCF of Fractions for 3876/981, 6325/1584 is 1/172656.