GCF of 1164/580, 1534/3578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1164/580, 1534/3578 i.e 2/1037620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1164/580, 1534/3578.
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 1164/580,1534/3578?
Given fractions are 1164/580,1534/3578
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 1164/580,1534/3578, numerators are 1164,1534
Denominators are 580,3578
The GCF of 1164,1534 is 2 .
LCM of 580,3578 is 1037620.
The greatest common factor of 1164/580,1534/3578 = [GCF of 1164,1534]/[LCM of 580,3578]= 2/1037620
Therefore, the GCF of 1164/580,1534/3578 is 2/1037620.
To find the highest common factor of 1164,1534, we have to find the factors of both numbers and list the highest common factor.
The factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164
The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534
The HCF of 1164,1534 is 2.
Lets's calculate GCF of 1164,1534
| 2 | 1164, 1534 |
| 582, 767 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1164,1534 By Matching Biggest Common Factor Method
Now, list down the factors of 1164
:1,2,3,4,6,12,97,194,291,388,582,1164
Now, list down the factors of 1534
:1,2,13,26,59,118,767,1534
Greatest Common Factor
We found the factors 1164,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 1164,1534 is 2.
Lets's calculate LCM of 580,3578
| 2 | 580, 3578 |
| 290, 1789 |
∴ So the LCM of the given numbers is 2 x 290 x 1789 = 1037620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1037620
Therefore, the GCF of Fractions 1164/580,1534/3578 is 2/1037620
Least Common Multiple of 580,3578 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 580,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,3578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,3578) x common factors =2 x 1 = 2
LCM(580,3578) = ( 580 × 3578 ) / 2
LCM(580,3578) = 2075240 / 2
LCM(580,3578) = 1037620
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FAQs on GCF of Fractions of 1164/580, 1534/3578
1. What is the HCF of 1164,1534?
The HCF of 1164,1534 is 2
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 1164/580, 1534/3578?
Answer: GCF of Numerators as per given numbers 1164/580, 1534/3578 is
GCF of Numerators i.e. for 1164,1534 is 2
LCM of denominators i.e. for 580,3578 is 1037620.
Thus, GCF of Fractions is 2/1037620.Finally, GCF of Fractions for 1164/580, 1534/3578 is 2/1037620.