GCF of 511/164, 1755/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/164, 1755/419 i.e 1/68716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/164, 1755/419.
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 511/164,1755/419?
Given fractions are 511/164,1755/419
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 511/164,1755/419, numerators are 511,1755
Denominators are 164,419
The GCF of 511,1755 is 1 .
LCM of 164,419 is 68716.
The greatest common factor of 511/164,1755/419 = [GCF of 511,1755]/[LCM of 164,419]= 1/68716
Therefore, the GCF of 511/164,1755/419 is 1/68716.
To find the highest common factor of 511,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 511,1755 is 1.
Lets's calculate GCF of 511,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 511,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 511,1755 is 1.
Lets's calculate LCM of 164,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 68716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68716
Therefore, the GCF of Fractions 511/164,1755/419 is 1/68716
Least Common Multiple of 164,419 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 164,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,419) x common factors =1 x 1 = 1
LCM(164,419) = ( 164 × 419 ) / 1
LCM(164,419) = 68716 / 1
LCM(164,419) = 68716
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FAQs on GCF of Fractions of 511/164, 1755/419
1. What is the HCF of 511,1755?
The HCF of 511,1755 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 511/164, 1755/419?
Answer: GCF of Numerators as per given numbers 511/164, 1755/419 is
GCF of Numerators i.e. for 511,1755 is 1
LCM of denominators i.e. for 164,419 is 68716.
Thus, GCF of Fractions is 1/68716.Finally, GCF of Fractions for 511/164, 1755/419 is 1/68716.