GCF of 5844/804, 1514/9136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5844/804, 1514/9136 i.e 2/1836336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5844/804, 1514/9136.
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 5844/804,1514/9136?
Given fractions are 5844/804,1514/9136
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 5844/804,1514/9136, numerators are 5844,1514
Denominators are 804,9136
The GCF of 5844,1514 is 2 .
LCM of 804,9136 is 1836336.
The greatest common factor of 5844/804,1514/9136 = [GCF of 5844,1514]/[LCM of 804,9136]= 2/1836336
Therefore, the GCF of 5844/804,1514/9136 is 2/1836336.
To find the highest common factor of 5844,1514, we have to find the factors of both numbers and list the highest common factor.
The factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844
The factors of 1514 are 1, 2, 757, 1514
The HCF of 5844,1514 is 2.
Lets's calculate GCF of 5844,1514
| 2 | 5844, 1514 |
| 2922, 757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5844,1514 By Matching Biggest Common Factor Method
Now, list down the factors of 5844
:1,2,3,4,6,12,487,974,1461,1948,2922,5844
Now, list down the factors of 1514
:1,2,757,1514
Greatest Common Factor
We found the factors 5844,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 5844,1514 is 2.
Lets's calculate LCM of 804,9136
| 2 | 804, 9136 |
| 2 | 402, 4568 |
| 201, 2284 |
∴ So the LCM of the given numbers is 2 x 2 x 201 x 2284 = 1836336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1836336
Therefore, the GCF of Fractions 5844/804,1514/9136 is 2/1836336
Least Common Multiple of 804,9136 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 804,9136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,9136) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(804,9136) x common factors =4 x 1 = 4
LCM(804,9136) = ( 804 × 9136 ) / 4
LCM(804,9136) = 7345344 / 4
LCM(804,9136) = 1836336
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FAQs on GCF of Fractions of 5844/804, 1514/9136
1. What is the HCF of 5844,1514?
The HCF of 5844,1514 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 5844/804, 1514/9136?
Answer: GCF of Numerators as per given numbers 5844/804, 1514/9136 is
GCF of Numerators i.e. for 5844,1514 is 2
LCM of denominators i.e. for 804,9136 is 1836336.
Thus, GCF of Fractions is 2/1836336.Finally, GCF of Fractions for 5844/804, 1514/9136 is 2/1836336.