GCF of 5148/799, 6264/439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5148/799, 6264/439 i.e 36/350761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5148/799, 6264/439.
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 5148/799,6264/439?
Given fractions are 5148/799,6264/439
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 5148/799,6264/439, numerators are 5148,6264
Denominators are 799,439
The GCF of 5148,6264 is 36 .
LCM of 799,439 is 350761.
The greatest common factor of 5148/799,6264/439 = [GCF of 5148,6264]/[LCM of 799,439]= 36/350761
Therefore, the GCF of 5148/799,6264/439 is 36/350761.
To find the highest common factor of 5148,6264, we have to find the factors of both numbers and list the highest common factor.
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264
The HCF of 5148,6264 is 36.
Lets's calculate GCF of 5148,6264
| 2 | 5148, 6264 |
| 2 | 2574, 3132 |
| 3 | 1287, 1566 |
| 3 | 429, 522 |
| 143, 174 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 5148,6264 By Matching Biggest Common Factor Method
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Now, list down the factors of 6264
:1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Greatest Common Factor
We found the factors 5148,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 5148,6264 is 36.
Lets's calculate LCM of 799,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 350761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/350761
Therefore, the GCF of Fractions 5148/799,6264/439 is 36/350761
Least Common Multiple of 799,439 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 799,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,439) x common factors =1 x 1 = 1
LCM(799,439) = ( 799 × 439 ) / 1
LCM(799,439) = 350761 / 1
LCM(799,439) = 350761
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5148/799, 6264/439
1. What is the HCF of 5148,6264?
The HCF of 5148,6264 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 5148/799, 6264/439?
Answer: GCF of Numerators as per given numbers 5148/799, 6264/439 is
GCF of Numerators i.e. for 5148,6264 is 36
LCM of denominators i.e. for 799,439 is 350761.
Thus, GCF of Fractions is 36/350761.Finally, GCF of Fractions for 5148/799, 6264/439 is 36/350761.