GCF of 9530/213, 3645/7851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9530/213, 3645/7851 i.e 5/557421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9530/213, 3645/7851.
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 9530/213,3645/7851?
Given fractions are 9530/213,3645/7851
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 9530/213,3645/7851, numerators are 9530,3645
Denominators are 213,7851
The GCF of 9530,3645 is 5 .
LCM of 213,7851 is 557421.
The greatest common factor of 9530/213,3645/7851 = [GCF of 9530,3645]/[LCM of 213,7851]= 5/557421
Therefore, the GCF of 9530/213,3645/7851 is 5/557421.
To find the highest common factor of 9530,3645, we have to find the factors of both numbers and list the highest common factor.
The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530
The factors of 3645 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215, 3645
The HCF of 9530,3645 is 5.
Lets's calculate GCF of 9530,3645
| 5 | 9530, 3645 |
| 1906, 729 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9530,3645 By Matching Biggest Common Factor Method
Now, list down the factors of 9530
:1,2,5,10,953,1906,4765,9530
Now, list down the factors of 3645
:1,3,5,9,15,27,45,81,135,243,405,729,1215,3645
Greatest Common Factor
We found the factors 9530,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 9530,3645 is 5.
Lets's calculate LCM of 213,7851
| 3 | 213, 7851 |
| 71, 2617 |
∴ So the LCM of the given numbers is 3 x 71 x 2617 = 557421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/557421
Therefore, the GCF of Fractions 9530/213,3645/7851 is 5/557421
Least Common Multiple of 213,7851 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 213,7851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,7851) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,7851) x common factors =3 x 1 = 3
LCM(213,7851) = ( 213 × 7851 ) / 3
LCM(213,7851) = 1672263 / 3
LCM(213,7851) = 557421
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FAQs on GCF of Fractions of 9530/213, 3645/7851
1. What is the HCF of 9530,3645?
The HCF of 9530,3645 is 5
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 9530/213, 3645/7851?
Answer: GCF of Numerators as per given numbers 9530/213, 3645/7851 is
GCF of Numerators i.e. for 9530,3645 is 5
LCM of denominators i.e. for 213,7851 is 557421.
Thus, GCF of Fractions is 5/557421.Finally, GCF of Fractions for 9530/213, 3645/7851 is 5/557421.