GCF of 9547/165, 1531/5304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9547/165, 1531/5304 i.e 1/291720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9547/165, 1531/5304.
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 9547/165,1531/5304?
Given fractions are 9547/165,1531/5304
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 9547/165,1531/5304, numerators are 9547,1531
Denominators are 165,5304
The GCF of 9547,1531 is 1 .
LCM of 165,5304 is 291720.
The greatest common factor of 9547/165,1531/5304 = [GCF of 9547,1531]/[LCM of 165,5304]= 1/291720
Therefore, the GCF of 9547/165,1531/5304 is 1/291720.
To find the highest common factor of 9547,1531, we have to find the factors of both numbers and list the highest common factor.
The factors of 9547 are 1, 9547
The factors of 1531 are 1, 1531
The HCF of 9547,1531 is 1.
Lets's calculate GCF of 9547,1531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9547,1531 By Matching Biggest Common Factor Method
Now, list down the factors of 9547
:1,9547
Now, list down the factors of 1531
:1,1531
Greatest Common Factor
We found the factors 9547,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 9547,1531 is 1.
Lets's calculate LCM of 165,5304
| 3 | 165, 5304 |
| 55, 1768 |
∴ So the LCM of the given numbers is 3 x 55 x 1768 = 291720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291720
Therefore, the GCF of Fractions 9547/165,1531/5304 is 1/291720
Least Common Multiple of 165,5304 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 165,5304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,5304) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,5304) x common factors =3 x 1 = 3
LCM(165,5304) = ( 165 × 5304 ) / 3
LCM(165,5304) = 875160 / 3
LCM(165,5304) = 291720
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FAQs on GCF of Fractions of 9547/165, 1531/5304
1. What is the HCF of 9547,1531?
The HCF of 9547,1531 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 9547/165, 1531/5304?
Answer: GCF of Numerators as per given numbers 9547/165, 1531/5304 is
GCF of Numerators i.e. for 9547,1531 is 1
LCM of denominators i.e. for 165,5304 is 291720.
Thus, GCF of Fractions is 1/291720.Finally, GCF of Fractions for 9547/165, 1531/5304 is 1/291720.