GCF of 5724/490, 8127/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5724/490, 8127/694 i.e 27/170030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5724/490, 8127/694.
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 5724/490,8127/694?
Given fractions are 5724/490,8127/694
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 5724/490,8127/694, numerators are 5724,8127
Denominators are 490,694
The GCF of 5724,8127 is 27 .
LCM of 490,694 is 170030.
The greatest common factor of 5724/490,8127/694 = [GCF of 5724,8127]/[LCM of 490,694]= 27/170030
Therefore, the GCF of 5724/490,8127/694 is 27/170030.
To find the highest common factor of 5724,8127, we have to find the factors of both numbers and list the highest common factor.
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The factors of 8127 are 1, 3, 7, 9, 21, 27, 43, 63, 129, 189, 301, 387, 903, 1161, 2709, 8127
The HCF of 5724,8127 is 27.
Lets's calculate GCF of 5724,8127
| 3 | 5724, 8127 |
| 3 | 1908, 2709 |
| 3 | 636, 903 |
| 212, 301 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5724,8127 By Matching Biggest Common Factor Method
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Now, list down the factors of 8127
:1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127
Greatest Common Factor
We found the factors 5724,8127 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,8127 is 27.
Lets's calculate LCM of 490,694
| 2 | 490, 694 |
| 245, 347 |
∴ So the LCM of the given numbers is 2 x 245 x 347 = 170030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/170030
Therefore, the GCF of Fractions 5724/490,8127/694 is 27/170030
Least Common Multiple of 490,694 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 490,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,694) x common factors =2 x 1 = 2
LCM(490,694) = ( 490 × 694 ) / 2
LCM(490,694) = 340060 / 2
LCM(490,694) = 170030
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5724/490, 8127/694
1. What is the HCF of 5724,8127?
The HCF of 5724,8127 is 27
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 5724/490, 8127/694?
Answer: GCF of Numerators as per given numbers 5724/490, 8127/694 is
GCF of Numerators i.e. for 5724,8127 is 27
LCM of denominators i.e. for 490,694 is 170030.
Thus, GCF of Fractions is 27/170030.Finally, GCF of Fractions for 5724/490, 8127/694 is 27/170030.