GCF of 9117/569, 3543/9526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9117/569, 3543/9526 i.e 3/5420294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9117/569, 3543/9526.
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 9117/569,3543/9526?
Given fractions are 9117/569,3543/9526
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 9117/569,3543/9526, numerators are 9117,3543
Denominators are 569,9526
The GCF of 9117,3543 is 3 .
LCM of 569,9526 is 5420294.
The greatest common factor of 9117/569,3543/9526 = [GCF of 9117,3543]/[LCM of 569,9526]= 3/5420294
Therefore, the GCF of 9117/569,3543/9526 is 3/5420294.
To find the highest common factor of 9117,3543, we have to find the factors of both numbers and list the highest common factor.
The factors of 9117 are 1, 3, 9, 1013, 3039, 9117
The factors of 3543 are 1, 3, 1181, 3543
The HCF of 9117,3543 is 3.
Lets's calculate GCF of 9117,3543
| 3 | 9117, 3543 |
| 3039, 1181 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9117,3543 By Matching Biggest Common Factor Method
Now, list down the factors of 9117
:1,3,9,1013,3039,9117
Now, list down the factors of 3543
:1,3,1181,3543
Greatest Common Factor
We found the factors 9117,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 9117,3543 is 3.
Lets's calculate LCM of 569,9526
Given numbers has no common factors except 1. So, there LCM is their product i.e 5420294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5420294
Therefore, the GCF of Fractions 9117/569,3543/9526 is 3/5420294
Least Common Multiple of 569,9526 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 569,9526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,9526) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,9526) x common factors =1 x 1 = 1
LCM(569,9526) = ( 569 × 9526 ) / 1
LCM(569,9526) = 5420294 / 1
LCM(569,9526) = 5420294
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FAQs on GCF of Fractions of 9117/569, 3543/9526
1. What is the HCF of 9117,3543?
The HCF of 9117,3543 is 3
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 9117/569, 3543/9526?
Answer: GCF of Numerators as per given numbers 9117/569, 3543/9526 is
GCF of Numerators i.e. for 9117,3543 is 3
LCM of denominators i.e. for 569,9526 is 5420294.
Thus, GCF of Fractions is 3/5420294.Finally, GCF of Fractions for 9117/569, 3543/9526 is 3/5420294.