GCF of 34/729, 9611/8360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/729, 9611/8360 i.e 1/6094440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/729, 9611/8360.
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 34/729,9611/8360?
Given fractions are 34/729,9611/8360
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 34/729,9611/8360, numerators are 34,9611
Denominators are 729,8360
The GCF of 34,9611 is 1 .
LCM of 729,8360 is 6094440.
The greatest common factor of 34/729,9611/8360 = [GCF of 34,9611]/[LCM of 729,8360]= 1/6094440
Therefore, the GCF of 34/729,9611/8360 is 1/6094440.
To find the highest common factor of 34,9611, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 9611 are 1, 7, 1373, 9611
The HCF of 34,9611 is 1.
Lets's calculate GCF of 34,9611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,9611 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 9611
:1,7,1373,9611
Greatest Common Factor
We found the factors 34,9611 . The biggest common factor number is the GCF number.
So the greatest common factor 34,9611 is 1.
Lets's calculate LCM of 729,8360
Given numbers has no common factors except 1. So, there LCM is their product i.e 6094440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6094440
Therefore, the GCF of Fractions 34/729,9611/8360 is 1/6094440
Least Common Multiple of 729,8360 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 729,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,8360) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,8360) x common factors =1 x 1 = 1
LCM(729,8360) = ( 729 × 8360 ) / 1
LCM(729,8360) = 6094440 / 1
LCM(729,8360) = 6094440
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FAQs on GCF of Fractions of 34/729, 9611/8360
1. What is the HCF of 34,9611?
The HCF of 34,9611 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 34/729, 9611/8360?
Answer: GCF of Numerators as per given numbers 34/729, 9611/8360 is
GCF of Numerators i.e. for 34,9611 is 1
LCM of denominators i.e. for 729,8360 is 6094440.
Thus, GCF of Fractions is 1/6094440.Finally, GCF of Fractions for 34/729, 9611/8360 is 1/6094440.