GCF of 9809/617, 8526/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9809/617, 8526/1912 i.e 1/1179704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9809/617, 8526/1912.
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 9809/617,8526/1912?
Given fractions are 9809/617,8526/1912
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 9809/617,8526/1912, numerators are 9809,8526
Denominators are 617,1912
The GCF of 9809,8526 is 1 .
LCM of 617,1912 is 1179704.
The greatest common factor of 9809/617,8526/1912 = [GCF of 9809,8526]/[LCM of 617,1912]= 1/1179704
Therefore, the GCF of 9809/617,8526/1912 is 1/1179704.
To find the highest common factor of 9809,8526, we have to find the factors of both numbers and list the highest common factor.
The factors of 9809 are 1, 17, 577, 9809
The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526
The HCF of 9809,8526 is 1.
Lets's calculate GCF of 9809,8526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9809,8526 By Matching Biggest Common Factor Method
Now, list down the factors of 9809
:1,17,577,9809
Now, list down the factors of 8526
:1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526
Greatest Common Factor
We found the factors 9809,8526 . The biggest common factor number is the GCF number.
So the greatest common factor 9809,8526 is 1.
Lets's calculate LCM of 617,1912
Given numbers has no common factors except 1. So, there LCM is their product i.e 1179704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1179704
Therefore, the GCF of Fractions 9809/617,8526/1912 is 1/1179704
Least Common Multiple of 617,1912 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 617,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,1912) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,1912) x common factors =1 x 1 = 1
LCM(617,1912) = ( 617 × 1912 ) / 1
LCM(617,1912) = 1179704 / 1
LCM(617,1912) = 1179704
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FAQs on GCF of Fractions of 9809/617, 8526/1912
1. What is the HCF of 9809,8526?
The HCF of 9809,8526 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 9809/617, 8526/1912?
Answer: GCF of Numerators as per given numbers 9809/617, 8526/1912 is
GCF of Numerators i.e. for 9809,8526 is 1
LCM of denominators i.e. for 617,1912 is 1179704.
Thus, GCF of Fractions is 1/1179704.Finally, GCF of Fractions for 9809/617, 8526/1912 is 1/1179704.