GCF of 1833/975, 5049/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1833/975, 5049/978 i.e 3/317850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1833/975, 5049/978.
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 1833/975,5049/978?
Given fractions are 1833/975,5049/978
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 1833/975,5049/978, numerators are 1833,5049
Denominators are 975,978
The GCF of 1833,5049 is 3 .
LCM of 975,978 is 317850.
The greatest common factor of 1833/975,5049/978 = [GCF of 1833,5049]/[LCM of 975,978]= 3/317850
Therefore, the GCF of 1833/975,5049/978 is 3/317850.
To find the highest common factor of 1833,5049, we have to find the factors of both numbers and list the highest common factor.
The factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833
The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The HCF of 1833,5049 is 3.
Lets's calculate GCF of 1833,5049
| 3 | 1833, 5049 |
| 611, 1683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1833,5049 By Matching Biggest Common Factor Method
Now, list down the factors of 1833
:1,3,13,39,47,141,611,1833
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 1833,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 1833,5049 is 3.
Lets's calculate LCM of 975,978
| 3 | 975, 978 |
| 325, 326 |
∴ So the LCM of the given numbers is 3 x 325 x 326 = 317850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/317850
Therefore, the GCF of Fractions 1833/975,5049/978 is 3/317850
Least Common Multiple of 975,978 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 975,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,978) x common factors =3 x 1 = 3
LCM(975,978) = ( 975 × 978 ) / 3
LCM(975,978) = 953550 / 3
LCM(975,978) = 317850
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FAQs on GCF of Fractions of 1833/975, 5049/978
1. What is the HCF of 1833,5049?
The HCF of 1833,5049 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 1833/975, 5049/978?
Answer: GCF of Numerators as per given numbers 1833/975, 5049/978 is
GCF of Numerators i.e. for 1833,5049 is 3
LCM of denominators i.e. for 975,978 is 317850.
Thus, GCF of Fractions is 3/317850.Finally, GCF of Fractions for 1833/975, 5049/978 is 3/317850.