GCF of 5764/387, 9949/2934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5764/387, 9949/2934 i.e 1/126162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5764/387, 9949/2934.
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 5764/387,9949/2934?
Given fractions are 5764/387,9949/2934
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 5764/387,9949/2934, numerators are 5764,9949
Denominators are 387,2934
The GCF of 5764,9949 is 1 .
LCM of 387,2934 is 126162.
The greatest common factor of 5764/387,9949/2934 = [GCF of 5764,9949]/[LCM of 387,2934]= 1/126162
Therefore, the GCF of 5764/387,9949/2934 is 1/126162.
To find the highest common factor of 5764,9949, we have to find the factors of both numbers and list the highest common factor.
The factors of 5764 are 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764
The factors of 9949 are 1, 9949
The HCF of 5764,9949 is 1.
Lets's calculate GCF of 5764,9949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5764,9949 By Matching Biggest Common Factor Method
Now, list down the factors of 5764
:1,2,4,11,22,44,131,262,524,1441,2882,5764
Now, list down the factors of 9949
:1,9949
Greatest Common Factor
We found the factors 5764,9949 . The biggest common factor number is the GCF number.
So the greatest common factor 5764,9949 is 1.
Lets's calculate LCM of 387,2934
| 3 | 387, 2934 |
| 3 | 129, 978 |
| 43, 326 |
∴ So the LCM of the given numbers is 3 x 3 x 43 x 326 = 126162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126162
Therefore, the GCF of Fractions 5764/387,9949/2934 is 1/126162
Least Common Multiple of 387,2934 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 387,2934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,2934) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(387,2934) x common factors =9 x 1 = 9
LCM(387,2934) = ( 387 × 2934 ) / 9
LCM(387,2934) = 1135458 / 9
LCM(387,2934) = 126162
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FAQs on GCF of Fractions of 5764/387, 9949/2934
1. What is the HCF of 5764,9949?
The HCF of 5764,9949 is 1
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 5764/387, 9949/2934?
Answer: GCF of Numerators as per given numbers 5764/387, 9949/2934 is
GCF of Numerators i.e. for 5764,9949 is 1
LCM of denominators i.e. for 387,2934 is 126162.
Thus, GCF of Fractions is 1/126162.Finally, GCF of Fractions for 5764/387, 9949/2934 is 1/126162.