GCF of 5487/32, 1500/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5487/32, 1500/829 i.e 3/26528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5487/32, 1500/829.
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 5487/32,1500/829?
Given fractions are 5487/32,1500/829
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 5487/32,1500/829, numerators are 5487,1500
Denominators are 32,829
The GCF of 5487,1500 is 3 .
LCM of 32,829 is 26528.
The greatest common factor of 5487/32,1500/829 = [GCF of 5487,1500]/[LCM of 32,829]= 3/26528
Therefore, the GCF of 5487/32,1500/829 is 3/26528.
To find the highest common factor of 5487,1500, we have to find the factors of both numbers and list the highest common factor.
The factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The HCF of 5487,1500 is 3.
Lets's calculate GCF of 5487,1500
| 3 | 5487, 1500 |
| 1829, 500 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5487,1500 By Matching Biggest Common Factor Method
Now, list down the factors of 5487
:1,3,31,59,93,177,1829,5487
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors 5487,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 5487,1500 is 3.
Lets's calculate LCM of 32,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 26528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26528
Therefore, the GCF of Fractions 5487/32,1500/829 is 3/26528
Least Common Multiple of 32,829 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 32,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,829) x common factors =1 x 1 = 1
LCM(32,829) = ( 32 × 829 ) / 1
LCM(32,829) = 26528 / 1
LCM(32,829) = 26528
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FAQs on GCF of Fractions of 5487/32, 1500/829
1. What is the HCF of 5487,1500?
The HCF of 5487,1500 is 3
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 5487/32, 1500/829?
Answer: GCF of Numerators as per given numbers 5487/32, 1500/829 is
GCF of Numerators i.e. for 5487,1500 is 3
LCM of denominators i.e. for 32,829 is 26528.
Thus, GCF of Fractions is 3/26528.Finally, GCF of Fractions for 5487/32, 1500/829 is 3/26528.