GCF of 572/906, 9152/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 572/906, 9152/738 i.e 572/111438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 572/906, 9152/738.
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 572/906,9152/738?
Given fractions are 572/906,9152/738
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 572/906,9152/738, numerators are 572,9152
Denominators are 906,738
The GCF of 572,9152 is 572 .
LCM of 906,738 is 111438.
The greatest common factor of 572/906,9152/738 = [GCF of 572,9152]/[LCM of 906,738]= 572/111438
Therefore, the GCF of 572/906,9152/738 is 572/111438.
To find the highest common factor of 572,9152, we have to find the factors of both numbers and list the highest common factor.
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 572,9152 is 572.
Lets's calculate GCF of 572,9152
| 2 | 572, 9152 |
| 2 | 286, 4576 |
| 11 | 143, 2288 |
| 13 | 13, 208 |
| 1, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 11 x 13 = 572
Greatest Common Factor of 572,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 572,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 572,9152 is 572.
Lets's calculate LCM of 906,738
| 2 | 906, 738 |
| 3 | 453, 369 |
| 151, 123 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 123 = 111438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 572/111438
Therefore, the GCF of Fractions 572/906,9152/738 is 572/111438
Least Common Multiple of 906,738 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 906,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,738) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,738) x common factors =6 x 1 = 6
LCM(906,738) = ( 906 × 738 ) / 6
LCM(906,738) = 668628 / 6
LCM(906,738) = 111438
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FAQs on GCF of Fractions of 572/906, 9152/738
1. What is the HCF of 572,9152?
The HCF of 572,9152 is 572
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 572/906, 9152/738?
Answer: GCF of Numerators as per given numbers 572/906, 9152/738 is
GCF of Numerators i.e. for 572,9152 is 572
LCM of denominators i.e. for 906,738 is 111438.
Thus, GCF of Fractions is 572/111438.Finally, GCF of Fractions for 572/906, 9152/738 is 572/111438.