Use our free GCF of Fractions Calculator tool to compute the GCF of 4824/579, 5076/6114 i.e 36/1180002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4824/579, 5076/6114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4824/579,5076/6114
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 4824/579,5076/6114, numerators are 4824,5076
Denominators are 579,6114
The GCF of 4824,5076 is 36 .
LCM of 579,6114 is 1180002.
The greatest common factor of 4824/579,5076/6114 = [GCF of 4824,5076]/[LCM of 579,6114]= 36/1180002
Therefore, the GCF of 4824/579,5076/6114 is 36/1180002.
To find the highest common factor of 4824,5076, we have to find the factors of both numbers and list the highest common factor.
The factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824
The factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
The HCF of 4824,5076 is 36.
Lets's calculate GCF of 4824,5076
2 | 4824, 5076 |
2 | 2412, 2538 |
3 | 1206, 1269 |
3 | 402, 423 |
134, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Now, list down the factors of 4824
:1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824
Now, list down the factors of 5076
:1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076
Greatest Common Factor
We found the factors 4824,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 4824,5076 is 36.
Lets's calculate LCM of 579,6114
3 | 579, 6114 |
193, 2038 |
∴ So the LCM of the given numbers is 3 x 193 x 2038 = 1180002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1180002
Therefore, the GCF of Fractions 4824/579,5076/6114 is 36/1180002
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 579,6114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,6114) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,6114) x common factors =3 x 1 = 3
LCM(579,6114) = ( 579 × 6114 ) / 3
LCM(579,6114) = 3540006 / 3
LCM(579,6114) = 1180002
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4824,5076?
The HCF of 4824,5076 is 36
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 4824/579, 5076/6114?
Answer: GCF of Numerators as per given numbers 4824/579, 5076/6114 is
GCF of Numerators i.e. for 4824,5076 is 36
LCM of denominators i.e. for 579,6114 is 1180002.
Thus, GCF of Fractions is 36/1180002.Finally, GCF of Fractions for 4824/579, 5076/6114 is 36/1180002.