GCF of 5152/360, 9024/5132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5152/360, 9024/5132 i.e 32/461880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5152/360, 9024/5132.
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 5152/360,9024/5132?
Given fractions are 5152/360,9024/5132
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 5152/360,9024/5132, numerators are 5152,9024
Denominators are 360,5132
The GCF of 5152,9024 is 32 .
LCM of 360,5132 is 461880.
The greatest common factor of 5152/360,9024/5132 = [GCF of 5152,9024]/[LCM of 360,5132]= 32/461880
Therefore, the GCF of 5152/360,9024/5132 is 32/461880.
To find the highest common factor of 5152,9024, we have to find the factors of both numbers and list the highest common factor.
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The HCF of 5152,9024 is 32.
Lets's calculate GCF of 5152,9024
| 2 | 5152, 9024 |
| 2 | 2576, 4512 |
| 2 | 1288, 2256 |
| 2 | 644, 1128 |
| 2 | 322, 564 |
| 161, 282 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 5152,9024 By Matching Biggest Common Factor Method
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Greatest Common Factor
We found the factors 5152,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 5152,9024 is 32.
Lets's calculate LCM of 360,5132
| 2 | 360, 5132 |
| 2 | 180, 2566 |
| 90, 1283 |
∴ So the LCM of the given numbers is 2 x 2 x 90 x 1283 = 461880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/461880
Therefore, the GCF of Fractions 5152/360,9024/5132 is 32/461880
Least Common Multiple of 360,5132 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 360,5132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,5132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(360,5132) x common factors =4 x 1 = 4
LCM(360,5132) = ( 360 × 5132 ) / 4
LCM(360,5132) = 1847520 / 4
LCM(360,5132) = 461880
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FAQs on GCF of Fractions of 5152/360, 9024/5132
1. What is the HCF of 5152,9024?
The HCF of 5152,9024 is 32
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 5152/360, 9024/5132?
Answer: GCF of Numerators as per given numbers 5152/360, 9024/5132 is
GCF of Numerators i.e. for 5152,9024 is 32
LCM of denominators i.e. for 360,5132 is 461880.
Thus, GCF of Fractions is 32/461880.Finally, GCF of Fractions for 5152/360, 9024/5132 is 32/461880.