GCF of 5256/496, 9756/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5256/496, 9756/752 i.e 36/23312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5256/496, 9756/752.
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 5256/496,9756/752?
Given fractions are 5256/496,9756/752
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 5256/496,9756/752, numerators are 5256,9756
Denominators are 496,752
The GCF of 5256,9756 is 36 .
LCM of 496,752 is 23312.
The greatest common factor of 5256/496,9756/752 = [GCF of 5256,9756]/[LCM of 496,752]= 36/23312
Therefore, the GCF of 5256/496,9756/752 is 36/23312.
To find the highest common factor of 5256,9756, we have to find the factors of both numbers and list the highest common factor.
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The HCF of 5256,9756 is 36.
Lets's calculate GCF of 5256,9756
| 2 | 5256, 9756 |
| 2 | 2628, 4878 |
| 3 | 1314, 2439 |
| 3 | 438, 813 |
| 146, 271 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 5256,9756 By Matching Biggest Common Factor Method
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Now, list down the factors of 9756
:1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Greatest Common Factor
We found the factors 5256,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 5256,9756 is 36.
Lets's calculate LCM of 496,752
| 2 | 496, 752 |
| 2 | 248, 376 |
| 2 | 124, 188 |
| 2 | 62, 94 |
| 31, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 47 = 23312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/23312
Therefore, the GCF of Fractions 5256/496,9756/752 is 36/23312
Least Common Multiple of 496,752 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 496,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,752) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(496,752) x common factors =16 x 1 = 16
LCM(496,752) = ( 496 × 752 ) / 16
LCM(496,752) = 372992 / 16
LCM(496,752) = 23312
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FAQs on GCF of Fractions of 5256/496, 9756/752
1. What is the HCF of 5256,9756?
The HCF of 5256,9756 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 5256/496, 9756/752?
Answer: GCF of Numerators as per given numbers 5256/496, 9756/752 is
GCF of Numerators i.e. for 5256,9756 is 36
LCM of denominators i.e. for 496,752 is 23312.
Thus, GCF of Fractions is 36/23312.Finally, GCF of Fractions for 5256/496, 9756/752 is 36/23312.