GCF of 1504/828, 4752/5242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1504/828, 4752/5242 i.e 16/2170188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1504/828, 4752/5242.
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 1504/828,4752/5242?
Given fractions are 1504/828,4752/5242
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 1504/828,4752/5242, numerators are 1504,4752
Denominators are 828,5242
The GCF of 1504,4752 is 16 .
LCM of 828,5242 is 2170188.
The greatest common factor of 1504/828,4752/5242 = [GCF of 1504,4752]/[LCM of 828,5242]= 16/2170188
Therefore, the GCF of 1504/828,4752/5242 is 16/2170188.
To find the highest common factor of 1504,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The HCF of 1504,4752 is 16.
Lets's calculate GCF of 1504,4752
| 2 | 1504, 4752 |
| 2 | 752, 2376 |
| 2 | 376, 1188 |
| 2 | 188, 594 |
| 94, 297 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 1504,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 1504,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,4752 is 16.
Lets's calculate LCM of 828,5242
| 2 | 828, 5242 |
| 414, 2621 |
∴ So the LCM of the given numbers is 2 x 414 x 2621 = 2170188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2170188
Therefore, the GCF of Fractions 1504/828,4752/5242 is 16/2170188
Least Common Multiple of 828,5242 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 828,5242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,5242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,5242) x common factors =2 x 1 = 2
LCM(828,5242) = ( 828 × 5242 ) / 2
LCM(828,5242) = 4340376 / 2
LCM(828,5242) = 2170188
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1504/828, 4752/5242
1. What is the HCF of 1504,4752?
The HCF of 1504,4752 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 1504/828, 4752/5242?
Answer: GCF of Numerators as per given numbers 1504/828, 4752/5242 is
GCF of Numerators i.e. for 1504,4752 is 16
LCM of denominators i.e. for 828,5242 is 2170188.
Thus, GCF of Fractions is 16/2170188.Finally, GCF of Fractions for 1504/828, 4752/5242 is 16/2170188.