GCF of 9438/208, 2766/9250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9438/208, 2766/9250 i.e 6/962000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9438/208, 2766/9250.
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 9438/208,2766/9250?
Given fractions are 9438/208,2766/9250
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 9438/208,2766/9250, numerators are 9438,2766
Denominators are 208,9250
The GCF of 9438,2766 is 6 .
LCM of 208,9250 is 962000.
The greatest common factor of 9438/208,2766/9250 = [GCF of 9438,2766]/[LCM of 208,9250]= 6/962000
Therefore, the GCF of 9438/208,2766/9250 is 6/962000.
To find the highest common factor of 9438,2766, we have to find the factors of both numbers and list the highest common factor.
The factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The HCF of 9438,2766 is 6.
Lets's calculate GCF of 9438,2766
| 2 | 9438, 2766 |
| 3 | 4719, 1383 |
| 1573, 461 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9438,2766 By Matching Biggest Common Factor Method
Now, list down the factors of 9438
:1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Greatest Common Factor
We found the factors 9438,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 9438,2766 is 6.
Lets's calculate LCM of 208,9250
| 2 | 208, 9250 |
| 104, 4625 |
∴ So the LCM of the given numbers is 2 x 104 x 4625 = 962000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/962000
Therefore, the GCF of Fractions 9438/208,2766/9250 is 6/962000
Least Common Multiple of 208,9250 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 208,9250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,9250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,9250) x common factors =2 x 1 = 2
LCM(208,9250) = ( 208 × 9250 ) / 2
LCM(208,9250) = 1924000 / 2
LCM(208,9250) = 962000
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FAQs on GCF of Fractions of 9438/208, 2766/9250
1. What is the HCF of 9438,2766?
The HCF of 9438,2766 is 6
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 9438/208, 2766/9250?
Answer: GCF of Numerators as per given numbers 9438/208, 2766/9250 is
GCF of Numerators i.e. for 9438,2766 is 6
LCM of denominators i.e. for 208,9250 is 962000.
Thus, GCF of Fractions is 6/962000.Finally, GCF of Fractions for 9438/208, 2766/9250 is 6/962000.