GCF of 326/569, 4511/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 326/569, 4511/851 i.e 1/484219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/569, 4511/851.
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 326/569,4511/851?
Given fractions are 326/569,4511/851
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 326/569,4511/851, numerators are 326,4511
Denominators are 569,851
The GCF of 326,4511 is 1 .
LCM of 569,851 is 484219.
The greatest common factor of 326/569,4511/851 = [GCF of 326,4511]/[LCM of 569,851]= 1/484219
Therefore, the GCF of 326/569,4511/851 is 1/484219.
To find the highest common factor of 326,4511, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 4511 are 1, 13, 347, 4511
The HCF of 326,4511 is 1.
Lets's calculate GCF of 326,4511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 326,4511 By Matching Biggest Common Factor Method
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 4511
:1,13,347,4511
Greatest Common Factor
We found the factors 326,4511 . The biggest common factor number is the GCF number.
So the greatest common factor 326,4511 is 1.
Lets's calculate LCM of 569,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 484219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484219
Therefore, the GCF of Fractions 326/569,4511/851 is 1/484219
Least Common Multiple of 569,851 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 569,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,851) x common factors =1 x 1 = 1
LCM(569,851) = ( 569 × 851 ) / 1
LCM(569,851) = 484219 / 1
LCM(569,851) = 484219
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FAQs on GCF of Fractions of 326/569, 4511/851
1. What is the HCF of 326,4511?
The HCF of 326,4511 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 326/569, 4511/851?
Answer: GCF of Numerators as per given numbers 326/569, 4511/851 is
GCF of Numerators i.e. for 326,4511 is 1
LCM of denominators i.e. for 569,851 is 484219.
Thus, GCF of Fractions is 1/484219.Finally, GCF of Fractions for 326/569, 4511/851 is 1/484219.