GCF of 5388/910, 3588/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5388/910, 3588/2824 i.e 12/1284920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5388/910, 3588/2824.
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 5388/910,3588/2824?
Given fractions are 5388/910,3588/2824
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 5388/910,3588/2824, numerators are 5388,3588
Denominators are 910,2824
The GCF of 5388,3588 is 12 .
LCM of 910,2824 is 1284920.
The greatest common factor of 5388/910,3588/2824 = [GCF of 5388,3588]/[LCM of 910,2824]= 12/1284920
Therefore, the GCF of 5388/910,3588/2824 is 12/1284920.
To find the highest common factor of 5388,3588, we have to find the factors of both numbers and list the highest common factor.
The factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388
The factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588
The HCF of 5388,3588 is 12.
Lets's calculate GCF of 5388,3588
| 2 | 5388, 3588 |
| 2 | 2694, 1794 |
| 3 | 1347, 897 |
| 449, 299 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5388,3588 By Matching Biggest Common Factor Method
Now, list down the factors of 5388
:1,2,3,4,6,12,449,898,1347,1796,2694,5388
Now, list down the factors of 3588
:1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588
Greatest Common Factor
We found the factors 5388,3588 . The biggest common factor number is the GCF number.
So the greatest common factor 5388,3588 is 12.
Lets's calculate LCM of 910,2824
| 2 | 910, 2824 |
| 455, 1412 |
∴ So the LCM of the given numbers is 2 x 455 x 1412 = 1284920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1284920
Therefore, the GCF of Fractions 5388/910,3588/2824 is 12/1284920
Least Common Multiple of 910,2824 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 910,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,2824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(910,2824) x common factors =2 x 1 = 2
LCM(910,2824) = ( 910 × 2824 ) / 2
LCM(910,2824) = 2569840 / 2
LCM(910,2824) = 1284920
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FAQs on GCF of Fractions of 5388/910, 3588/2824
1. What is the HCF of 5388,3588?
The HCF of 5388,3588 is 12
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 5388/910, 3588/2824?
Answer: GCF of Numerators as per given numbers 5388/910, 3588/2824 is
GCF of Numerators i.e. for 5388,3588 is 12
LCM of denominators i.e. for 910,2824 is 1284920.
Thus, GCF of Fractions is 12/1284920.Finally, GCF of Fractions for 5388/910, 3588/2824 is 12/1284920.