GCF of 8064/931, 8555/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8064/931, 8555/756 i.e 1/100548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8064/931, 8555/756.
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 8064/931,8555/756?
Given fractions are 8064/931,8555/756
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 8064/931,8555/756, numerators are 8064,8555
Denominators are 931,756
The GCF of 8064,8555 is 1 .
LCM of 931,756 is 100548.
The greatest common factor of 8064/931,8555/756 = [GCF of 8064,8555]/[LCM of 931,756]= 1/100548
Therefore, the GCF of 8064/931,8555/756 is 1/100548.
To find the highest common factor of 8064,8555, we have to find the factors of both numbers and list the highest common factor.
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The factors of 8555 are 1, 5, 29, 59, 145, 295, 1711, 8555
The HCF of 8064,8555 is 1.
Lets's calculate GCF of 8064,8555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8064,8555 By Matching Biggest Common Factor Method
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Now, list down the factors of 8555
:1,5,29,59,145,295,1711,8555
Greatest Common Factor
We found the factors 8064,8555 . The biggest common factor number is the GCF number.
So the greatest common factor 8064,8555 is 1.
Lets's calculate LCM of 931,756
| 7 | 931, 756 |
| 133, 108 |
∴ So the LCM of the given numbers is 7 x 133 x 108 = 100548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100548
Therefore, the GCF of Fractions 8064/931,8555/756 is 1/100548
Least Common Multiple of 931,756 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 931,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,756) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(931,756) x common factors =7 x 1 = 7
LCM(931,756) = ( 931 × 756 ) / 7
LCM(931,756) = 703836 / 7
LCM(931,756) = 100548
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8064/931, 8555/756
1. What is the HCF of 8064,8555?
The HCF of 8064,8555 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 8064/931, 8555/756?
Answer: GCF of Numerators as per given numbers 8064/931, 8555/756 is
GCF of Numerators i.e. for 8064,8555 is 1
LCM of denominators i.e. for 931,756 is 100548.
Thus, GCF of Fractions is 1/100548.Finally, GCF of Fractions for 8064/931, 8555/756 is 1/100548.