GCF of 1512/992, 9588/1557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1512/992, 9588/1557 i.e 12/1544544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1512/992, 9588/1557.
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 1512/992,9588/1557?
Given fractions are 1512/992,9588/1557
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 1512/992,9588/1557, numerators are 1512,9588
Denominators are 992,1557
The GCF of 1512,9588 is 12 .
LCM of 992,1557 is 1544544.
The greatest common factor of 1512/992,9588/1557 = [GCF of 1512,9588]/[LCM of 992,1557]= 12/1544544
Therefore, the GCF of 1512/992,9588/1557 is 12/1544544.
To find the highest common factor of 1512,9588, we have to find the factors of both numbers and list the highest common factor.
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The HCF of 1512,9588 is 12.
Lets's calculate GCF of 1512,9588
| 2 | 1512, 9588 |
| 2 | 756, 4794 |
| 3 | 378, 2397 |
| 126, 799 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1512,9588 By Matching Biggest Common Factor Method
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 1512,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 1512,9588 is 12.
Lets's calculate LCM of 992,1557
Given numbers has no common factors except 1. So, there LCM is their product i.e 1544544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1544544
Therefore, the GCF of Fractions 1512/992,9588/1557 is 12/1544544
Least Common Multiple of 992,1557 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 992,1557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,1557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(992,1557) x common factors =1 x 1 = 1
LCM(992,1557) = ( 992 × 1557 ) / 1
LCM(992,1557) = 1544544 / 1
LCM(992,1557) = 1544544
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FAQs on GCF of Fractions of 1512/992, 9588/1557
1. What is the HCF of 1512,9588?
The HCF of 1512,9588 is 12
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 1512/992, 9588/1557?
Answer: GCF of Numerators as per given numbers 1512/992, 9588/1557 is
GCF of Numerators i.e. for 1512,9588 is 12
LCM of denominators i.e. for 992,1557 is 1544544.
Thus, GCF of Fractions is 12/1544544.Finally, GCF of Fractions for 1512/992, 9588/1557 is 12/1544544.