GCF of 1530/960, 3087/7356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1530/960, 3087/7356 i.e 9/588480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1530/960, 3087/7356.
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 1530/960,3087/7356?
Given fractions are 1530/960,3087/7356
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 1530/960,3087/7356, numerators are 1530,3087
Denominators are 960,7356
The GCF of 1530,3087 is 9 .
LCM of 960,7356 is 588480.
The greatest common factor of 1530/960,3087/7356 = [GCF of 1530,3087]/[LCM of 960,7356]= 9/588480
Therefore, the GCF of 1530/960,3087/7356 is 9/588480.
To find the highest common factor of 1530,3087, we have to find the factors of both numbers and list the highest common factor.
The factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
The HCF of 1530,3087 is 9.
Lets's calculate GCF of 1530,3087
| 3 | 1530, 3087 |
| 3 | 510, 1029 |
| 170, 343 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1530,3087 By Matching Biggest Common Factor Method
Now, list down the factors of 1530
:1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Now, list down the factors of 3087
:1,3,7,9,21,49,63,147,343,441,1029,3087
Greatest Common Factor
We found the factors 1530,3087 . The biggest common factor number is the GCF number.
So the greatest common factor 1530,3087 is 9.
Lets's calculate LCM of 960,7356
| 2 | 960, 7356 |
| 2 | 480, 3678 |
| 3 | 240, 1839 |
| 80, 613 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 80 x 613 = 588480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/588480
Therefore, the GCF of Fractions 1530/960,3087/7356 is 9/588480
Least Common Multiple of 960,7356 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 960,7356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,7356) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(960,7356) x common factors =12 x 1 = 12
LCM(960,7356) = ( 960 × 7356 ) / 12
LCM(960,7356) = 7061760 / 12
LCM(960,7356) = 588480
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FAQs on GCF of Fractions of 1530/960, 3087/7356
1. What is the HCF of 1530,3087?
The HCF of 1530,3087 is 9
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 1530/960, 3087/7356?
Answer: GCF of Numerators as per given numbers 1530/960, 3087/7356 is
GCF of Numerators i.e. for 1530,3087 is 9
LCM of denominators i.e. for 960,7356 is 588480.
Thus, GCF of Fractions is 9/588480.Finally, GCF of Fractions for 1530/960, 3087/7356 is 9/588480.