GCF of 8503/682, 6384/9009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8503/682, 6384/9009 i.e 1/558558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8503/682, 6384/9009.
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 8503/682,6384/9009?
Given fractions are 8503/682,6384/9009
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 8503/682,6384/9009, numerators are 8503,6384
Denominators are 682,9009
The GCF of 8503,6384 is 1 .
LCM of 682,9009 is 558558.
The greatest common factor of 8503/682,6384/9009 = [GCF of 8503,6384]/[LCM of 682,9009]= 1/558558
Therefore, the GCF of 8503/682,6384/9009 is 1/558558.
To find the highest common factor of 8503,6384, we have to find the factors of both numbers and list the highest common factor.
The factors of 8503 are 1, 11, 773, 8503
The factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384
The HCF of 8503,6384 is 1.
Lets's calculate GCF of 8503,6384
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8503,6384 By Matching Biggest Common Factor Method
Now, list down the factors of 8503
:1,11,773,8503
Now, list down the factors of 6384
:1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Greatest Common Factor
We found the factors 8503,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 8503,6384 is 1.
Lets's calculate LCM of 682,9009
| 11 | 682, 9009 |
| 62, 819 |
∴ So the LCM of the given numbers is 11 x 62 x 819 = 558558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/558558
Therefore, the GCF of Fractions 8503/682,6384/9009 is 1/558558
Least Common Multiple of 682,9009 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 682,9009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,9009) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(682,9009) x common factors =11 x 1 = 11
LCM(682,9009) = ( 682 × 9009 ) / 11
LCM(682,9009) = 6144138 / 11
LCM(682,9009) = 558558
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8503/682, 6384/9009
1. What is the HCF of 8503,6384?
The HCF of 8503,6384 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 8503/682, 6384/9009?
Answer: GCF of Numerators as per given numbers 8503/682, 6384/9009 is
GCF of Numerators i.e. for 8503,6384 is 1
LCM of denominators i.e. for 682,9009 is 558558.
Thus, GCF of Fractions is 1/558558.Finally, GCF of Fractions for 8503/682, 6384/9009 is 1/558558.