GCF of 8124/538, 2241/2829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8124/538, 2241/2829 i.e 3/1522002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8124/538, 2241/2829.
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 8124/538,2241/2829?
Given fractions are 8124/538,2241/2829
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 8124/538,2241/2829, numerators are 8124,2241
Denominators are 538,2829
The GCF of 8124,2241 is 3 .
LCM of 538,2829 is 1522002.
The greatest common factor of 8124/538,2241/2829 = [GCF of 8124,2241]/[LCM of 538,2829]= 3/1522002
Therefore, the GCF of 8124/538,2241/2829 is 3/1522002.
To find the highest common factor of 8124,2241, we have to find the factors of both numbers and list the highest common factor.
The factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124
The factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241
The HCF of 8124,2241 is 3.
Lets's calculate GCF of 8124,2241
| 3 | 8124, 2241 |
| 2708, 747 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8124,2241 By Matching Biggest Common Factor Method
Now, list down the factors of 8124
:1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Now, list down the factors of 2241
:1,3,9,27,83,249,747,2241
Greatest Common Factor
We found the factors 8124,2241 . The biggest common factor number is the GCF number.
So the greatest common factor 8124,2241 is 3.
Lets's calculate LCM of 538,2829
Given numbers has no common factors except 1. So, there LCM is their product i.e 1522002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1522002
Therefore, the GCF of Fractions 8124/538,2241/2829 is 3/1522002
Least Common Multiple of 538,2829 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 538,2829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2829) x common factors =1 x 1 = 1
LCM(538,2829) = ( 538 × 2829 ) / 1
LCM(538,2829) = 1522002 / 1
LCM(538,2829) = 1522002
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FAQs on GCF of Fractions of 8124/538, 2241/2829
1. What is the HCF of 8124,2241?
The HCF of 8124,2241 is 3
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 8124/538, 2241/2829?
Answer: GCF of Numerators as per given numbers 8124/538, 2241/2829 is
GCF of Numerators i.e. for 8124,2241 is 3
LCM of denominators i.e. for 538,2829 is 1522002.
Thus, GCF of Fractions is 3/1522002.Finally, GCF of Fractions for 8124/538, 2241/2829 is 3/1522002.