GCF of 705/86, 929/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/86, 929/339 i.e 1/29154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/86, 929/339.
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 705/86,929/339?
Given fractions are 705/86,929/339
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 705/86,929/339, numerators are 705,929
Denominators are 86,339
The GCF of 705,929 is 1 .
LCM of 86,339 is 29154.
The greatest common factor of 705/86,929/339 = [GCF of 705,929]/[LCM of 86,339]= 1/29154
Therefore, the GCF of 705/86,929/339 is 1/29154.
To find the highest common factor of 705,929, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 929 are 1, 929
The HCF of 705,929 is 1.
Lets's calculate GCF of 705,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 705,929 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 705,929 . The biggest common factor number is the GCF number.
So the greatest common factor 705,929 is 1.
Lets's calculate LCM of 86,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 29154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29154
Therefore, the GCF of Fractions 705/86,929/339 is 1/29154
Least Common Multiple of 86,339 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 86,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,339) x common factors =1 x 1 = 1
LCM(86,339) = ( 86 × 339 ) / 1
LCM(86,339) = 29154 / 1
LCM(86,339) = 29154
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FAQs on GCF of Fractions of 705/86, 929/339
1. What is the HCF of 705,929?
The HCF of 705,929 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 705/86, 929/339?
Answer: GCF of Numerators as per given numbers 705/86, 929/339 is
GCF of Numerators i.e. for 705,929 is 1
LCM of denominators i.e. for 86,339 is 29154.
Thus, GCF of Fractions is 1/29154.Finally, GCF of Fractions for 705/86, 929/339 is 1/29154.