GCF of 17/61, 473/17, 491/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/61, 473/17, 491/129 i.e 1/133773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/61, 473/17, 491/129.
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 17/61,473/17,491/129?
Given fractions are 17/61,473/17,491/129
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 17/61,473/17,491/129, numerators are 17,473,491
Denominators are 61,17,129
The GCF of 17,473,491 is 1 .
LCM of 61,17,129 is 133773.
The greatest common factor of 17/61,473/17,491/129 = [GCF of 17,473,491]/[LCM of 61,17,129]= 1/133773
Therefore, the GCF of 17/61,473/17,491/129 is 1/133773.
To find the highest common factor of 17,473,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 473 are 1, 11, 43, 473
The factors of 491 are 1, 491
The HCF of 17,473,491 is 1.
Lets's calculate GCF of 17,473,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,473,491 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 17,473,491 . The biggest common factor number is the GCF number.
So the greatest common factor 17,473,491 is 1.
Lets's calculate LCM of 61,17,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 133773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133773
Therefore, the GCF of Fractions 17/61,473/17,491/129 is 1/133773
Least Common Multiple of 61,17,129 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 61,17,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,17,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,17,129) x common factors =1 x 1 = 1
LCM(61,17,129) = ( 61 × 17 × 129 ) / 1
LCM(61,17,129) = 133773 / 1
LCM(61,17,129) = 133773
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FAQs on GCF of Fractions of 17/61, 473/17, 491/129
1. What is the HCF of 17,473,491?
The HCF of 17,473,491 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 17/61, 473/17, 491/129?
Answer: GCF of Numerators as per given numbers 17/61, 473/17, 491/129 is
GCF of Numerators i.e. for 17,473,491 is 1
LCM of denominators i.e. for 61,17,129 is 133773.
Thus, GCF of Fractions is 1/133773.Finally, GCF of Fractions for 17/61, 473/17, 491/129 is 1/133773.