GCF of 6363/762, 8910/3584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6363/762, 8910/3584 i.e 9/1365504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6363/762, 8910/3584.
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 6363/762,8910/3584?
Given fractions are 6363/762,8910/3584
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 6363/762,8910/3584, numerators are 6363,8910
Denominators are 762,3584
The GCF of 6363,8910 is 9 .
LCM of 762,3584 is 1365504.
The greatest common factor of 6363/762,8910/3584 = [GCF of 6363,8910]/[LCM of 762,3584]= 9/1365504
Therefore, the GCF of 6363/762,8910/3584 is 9/1365504.
To find the highest common factor of 6363,8910, we have to find the factors of both numbers and list the highest common factor.
The factors of 6363 are 1, 3, 7, 9, 21, 63, 101, 303, 707, 909, 2121, 6363
The factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910
The HCF of 6363,8910 is 9.
Lets's calculate GCF of 6363,8910
| 3 | 6363, 8910 |
| 3 | 2121, 2970 |
| 707, 990 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6363,8910 By Matching Biggest Common Factor Method
Now, list down the factors of 6363
:1,3,7,9,21,63,101,303,707,909,2121,6363
Now, list down the factors of 8910
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Greatest Common Factor
We found the factors 6363,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 6363,8910 is 9.
Lets's calculate LCM of 762,3584
| 2 | 762, 3584 |
| 381, 1792 |
∴ So the LCM of the given numbers is 2 x 381 x 1792 = 1365504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1365504
Therefore, the GCF of Fractions 6363/762,8910/3584 is 9/1365504
Least Common Multiple of 762,3584 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 762,3584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,3584) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,3584) x common factors =2 x 1 = 2
LCM(762,3584) = ( 762 × 3584 ) / 2
LCM(762,3584) = 2731008 / 2
LCM(762,3584) = 1365504
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FAQs on GCF of Fractions of 6363/762, 8910/3584
1. What is the HCF of 6363,8910?
The HCF of 6363,8910 is 9
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 6363/762, 8910/3584?
Answer: GCF of Numerators as per given numbers 6363/762, 8910/3584 is
GCF of Numerators i.e. for 6363,8910 is 9
LCM of denominators i.e. for 762,3584 is 1365504.
Thus, GCF of Fractions is 9/1365504.Finally, GCF of Fractions for 6363/762, 8910/3584 is 9/1365504.