GCF of 34/77, 529/39, 817/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/77, 529/39, 817/241 i.e 1/723723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/77, 529/39, 817/241.
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 34/77,529/39,817/241?
Given fractions are 34/77,529/39,817/241
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 34/77,529/39,817/241, numerators are 34,529,817
Denominators are 77,39,241
The GCF of 34,529,817 is 1 .
LCM of 77,39,241 is 723723.
The greatest common factor of 34/77,529/39,817/241 = [GCF of 34,529,817]/[LCM of 77,39,241]= 1/723723
Therefore, the GCF of 34/77,529/39,817/241 is 1/723723.
To find the highest common factor of 34,529,817, 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 529 are 1, 23, 529
The factors of 817 are 1, 19, 43, 817
The HCF of 34,529,817 is 1.
Lets's calculate GCF of 34,529,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,529,817 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 817
:1,19,43,817
Greatest Common Factor
We found the factors 34,529,817 . The biggest common factor number is the GCF number.
So the greatest common factor 34,529,817 is 1.
Lets's calculate LCM of 77,39,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 723723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723723
Therefore, the GCF of Fractions 34/77,529/39,817/241 is 1/723723
Least Common Multiple of 77,39,241 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 77,39,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,39,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,39,241) x common factors =1 x 1 = 1
LCM(77,39,241) = ( 77 × 39 × 241 ) / 1
LCM(77,39,241) = 723723 / 1
LCM(77,39,241) = 723723
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FAQs on GCF of Fractions of 34/77, 529/39, 817/241
1. What is the HCF of 34,529,817?
The HCF of 34,529,817 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 34/77, 529/39, 817/241?
Answer: GCF of Numerators as per given numbers 34/77, 529/39, 817/241 is
GCF of Numerators i.e. for 34,529,817 is 1
LCM of denominators i.e. for 77,39,241 is 723723.
Thus, GCF of Fractions is 1/723723.Finally, GCF of Fractions for 34/77, 529/39, 817/241 is 1/723723.