GCF of 9557/539, 3545/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9557/539, 3545/105 i.e 1/8085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9557/539, 3545/105.
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 9557/539,3545/105?
Given fractions are 9557/539,3545/105
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 9557/539,3545/105, numerators are 9557,3545
Denominators are 539,105
The GCF of 9557,3545 is 1 .
LCM of 539,105 is 8085.
The greatest common factor of 9557/539,3545/105 = [GCF of 9557,3545]/[LCM of 539,105]= 1/8085
Therefore, the GCF of 9557/539,3545/105 is 1/8085.
To find the highest common factor of 9557,3545, we have to find the factors of both numbers and list the highest common factor.
The factors of 9557 are 1, 19, 503, 9557
The factors of 3545 are 1, 5, 709, 3545
The HCF of 9557,3545 is 1.
Lets's calculate GCF of 9557,3545
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9557,3545 By Matching Biggest Common Factor Method
Now, list down the factors of 9557
:1,19,503,9557
Now, list down the factors of 3545
:1,5,709,3545
Greatest Common Factor
We found the factors 9557,3545 . The biggest common factor number is the GCF number.
So the greatest common factor 9557,3545 is 1.
Lets's calculate LCM of 539,105
| 7 | 539, 105 |
| 77, 15 |
∴ So the LCM of the given numbers is 7 x 77 x 15 = 8085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8085
Therefore, the GCF of Fractions 9557/539,3545/105 is 1/8085
Least Common Multiple of 539,105 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 539,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,105) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,105) x common factors =7 x 1 = 7
LCM(539,105) = ( 539 × 105 ) / 7
LCM(539,105) = 56595 / 7
LCM(539,105) = 8085
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FAQs on GCF of Fractions of 9557/539, 3545/105
1. What is the HCF of 9557,3545?
The HCF of 9557,3545 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 9557/539, 3545/105?
Answer: GCF of Numerators as per given numbers 9557/539, 3545/105 is
GCF of Numerators i.e. for 9557,3545 is 1
LCM of denominators i.e. for 539,105 is 8085.
Thus, GCF of Fractions is 1/8085.Finally, GCF of Fractions for 9557/539, 3545/105 is 1/8085.