GCF of 3132/738, 5000/5084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3132/738, 5000/5084 i.e 4/45756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3132/738, 5000/5084.
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 3132/738,5000/5084?
Given fractions are 3132/738,5000/5084
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 3132/738,5000/5084, numerators are 3132,5000
Denominators are 738,5084
The GCF of 3132,5000 is 4 .
LCM of 738,5084 is 45756.
The greatest common factor of 3132/738,5000/5084 = [GCF of 3132,5000]/[LCM of 738,5084]= 4/45756
Therefore, the GCF of 3132/738,5000/5084 is 4/45756.
To find the highest common factor of 3132,5000, we have to find the factors of both numbers and list the highest common factor.
The factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The HCF of 3132,5000 is 4.
Lets's calculate GCF of 3132,5000
| 2 | 3132, 5000 |
| 2 | 1566, 2500 |
| 783, 1250 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3132,5000 By Matching Biggest Common Factor Method
Now, list down the factors of 3132
:1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Greatest Common Factor
We found the factors 3132,5000 . The biggest common factor number is the GCF number.
So the greatest common factor 3132,5000 is 4.
Lets's calculate LCM of 738,5084
| 2 | 738, 5084 |
| 41 | 369, 2542 |
| 9, 62 |
∴ So the LCM of the given numbers is 2 x 41 x 9 x 62 = 45756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/45756
Therefore, the GCF of Fractions 3132/738,5000/5084 is 4/45756
Least Common Multiple of 738,5084 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 738,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,5084) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(738,5084) x common factors =82 x 1 = 82
LCM(738,5084) = ( 738 × 5084 ) / 82
LCM(738,5084) = 3751992 / 82
LCM(738,5084) = 45756
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FAQs on GCF of Fractions of 3132/738, 5000/5084
1. What is the HCF of 3132,5000?
The HCF of 3132,5000 is 4
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 3132/738, 5000/5084?
Answer: GCF of Numerators as per given numbers 3132/738, 5000/5084 is
GCF of Numerators i.e. for 3132,5000 is 4
LCM of denominators i.e. for 738,5084 is 45756.
Thus, GCF of Fractions is 4/45756.Finally, GCF of Fractions for 3132/738, 5000/5084 is 4/45756.