GCF of 9143/330, 6635/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9143/330, 6635/542 i.e 1/89430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9143/330, 6635/542.
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 9143/330,6635/542?
Given fractions are 9143/330,6635/542
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 9143/330,6635/542, numerators are 9143,6635
Denominators are 330,542
The GCF of 9143,6635 is 1 .
LCM of 330,542 is 89430.
The greatest common factor of 9143/330,6635/542 = [GCF of 9143,6635]/[LCM of 330,542]= 1/89430
Therefore, the GCF of 9143/330,6635/542 is 1/89430.
To find the highest common factor of 9143,6635, we have to find the factors of both numbers and list the highest common factor.
The factors of 9143 are 1, 41, 223, 9143
The factors of 6635 are 1, 5, 1327, 6635
The HCF of 9143,6635 is 1.
Lets's calculate GCF of 9143,6635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9143,6635 By Matching Biggest Common Factor Method
Now, list down the factors of 9143
:1,41,223,9143
Now, list down the factors of 6635
:1,5,1327,6635
Greatest Common Factor
We found the factors 9143,6635 . The biggest common factor number is the GCF number.
So the greatest common factor 9143,6635 is 1.
Lets's calculate LCM of 330,542
| 2 | 330, 542 |
| 165, 271 |
∴ So the LCM of the given numbers is 2 x 165 x 271 = 89430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89430
Therefore, the GCF of Fractions 9143/330,6635/542 is 1/89430
Least Common Multiple of 330,542 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 330,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,542) x common factors =2 x 1 = 2
LCM(330,542) = ( 330 × 542 ) / 2
LCM(330,542) = 178860 / 2
LCM(330,542) = 89430
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FAQs on GCF of Fractions of 9143/330, 6635/542
1. What is the HCF of 9143,6635?
The HCF of 9143,6635 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 9143/330, 6635/542?
Answer: GCF of Numerators as per given numbers 9143/330, 6635/542 is
GCF of Numerators i.e. for 9143,6635 is 1
LCM of denominators i.e. for 330,542 is 89430.
Thus, GCF of Fractions is 1/89430.Finally, GCF of Fractions for 9143/330, 6635/542 is 1/89430.