GCF of 4048/64, 5424/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4048/64, 5424/516 i.e 16/8256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4048/64, 5424/516.
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 4048/64,5424/516?
Given fractions are 4048/64,5424/516
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 4048/64,5424/516, numerators are 4048,5424
Denominators are 64,516
The GCF of 4048,5424 is 16 .
LCM of 64,516 is 8256.
The greatest common factor of 4048/64,5424/516 = [GCF of 4048,5424]/[LCM of 64,516]= 16/8256
Therefore, the GCF of 4048/64,5424/516 is 16/8256.
To find the highest common factor of 4048,5424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The HCF of 4048,5424 is 16.
Lets's calculate GCF of 4048,5424
| 2 | 4048, 5424 |
| 2 | 2024, 2712 |
| 2 | 1012, 1356 |
| 2 | 506, 678 |
| 253, 339 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4048,5424 By Matching Biggest Common Factor Method
Now, list down the factors of 4048
:1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Greatest Common Factor
We found the factors 4048,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 4048,5424 is 16.
Lets's calculate LCM of 64,516
| 2 | 64, 516 |
| 2 | 32, 258 |
| 16, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 129 = 8256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/8256
Therefore, the GCF of Fractions 4048/64,5424/516 is 16/8256
Least Common Multiple of 64,516 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 64,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,516) x common factors =4 x 1 = 4
LCM(64,516) = ( 64 × 516 ) / 4
LCM(64,516) = 33024 / 4
LCM(64,516) = 8256
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FAQs on GCF of Fractions of 4048/64, 5424/516
1. What is the HCF of 4048,5424?
The HCF of 4048,5424 is 16
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 4048/64, 5424/516?
Answer: GCF of Numerators as per given numbers 4048/64, 5424/516 is
GCF of Numerators i.e. for 4048,5424 is 16
LCM of denominators i.e. for 64,516 is 8256.
Thus, GCF of Fractions is 16/8256.Finally, GCF of Fractions for 4048/64, 5424/516 is 16/8256.