GCF of 1560/271, 5412/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1560/271, 5412/588 i.e 12/159348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1560/271, 5412/588.
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 1560/271,5412/588?
Given fractions are 1560/271,5412/588
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 1560/271,5412/588, numerators are 1560,5412
Denominators are 271,588
The GCF of 1560,5412 is 12 .
LCM of 271,588 is 159348.
The greatest common factor of 1560/271,5412/588 = [GCF of 1560,5412]/[LCM of 271,588]= 12/159348
Therefore, the GCF of 1560/271,5412/588 is 12/159348.
To find the highest common factor of 1560,5412, we have to find the factors of both numbers and list the highest common factor.
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
The HCF of 1560,5412 is 12.
Lets's calculate GCF of 1560,5412
| 2 | 1560, 5412 |
| 2 | 780, 2706 |
| 3 | 390, 1353 |
| 130, 451 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1560,5412 By Matching Biggest Common Factor Method
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Greatest Common Factor
We found the factors 1560,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 1560,5412 is 12.
Lets's calculate LCM of 271,588
Given numbers has no common factors except 1. So, there LCM is their product i.e 159348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/159348
Therefore, the GCF of Fractions 1560/271,5412/588 is 12/159348
Least Common Multiple of 271,588 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 271,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,588) x common factors =1 x 1 = 1
LCM(271,588) = ( 271 × 588 ) / 1
LCM(271,588) = 159348 / 1
LCM(271,588) = 159348
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FAQs on GCF of Fractions of 1560/271, 5412/588
1. What is the HCF of 1560,5412?
The HCF of 1560,5412 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 1560/271, 5412/588?
Answer: GCF of Numerators as per given numbers 1560/271, 5412/588 is
GCF of Numerators i.e. for 1560,5412 is 12
LCM of denominators i.e. for 271,588 is 159348.
Thus, GCF of Fractions is 12/159348.Finally, GCF of Fractions for 1560/271, 5412/588 is 12/159348.