GCF of 352/311, 1689/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 352/311, 1689/523 i.e 1/162653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/311, 1689/523.
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 352/311,1689/523?
Given fractions are 352/311,1689/523
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 352/311,1689/523, numerators are 352,1689
Denominators are 311,523
The GCF of 352,1689 is 1 .
LCM of 311,523 is 162653.
The greatest common factor of 352/311,1689/523 = [GCF of 352,1689]/[LCM of 311,523]= 1/162653
Therefore, the GCF of 352/311,1689/523 is 1/162653.
To find the highest common factor of 352,1689, we have to find the factors of both numbers and list the highest common factor.
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The factors of 1689 are 1, 3, 563, 1689
The HCF of 352,1689 is 1.
Lets's calculate GCF of 352,1689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 352,1689 By Matching Biggest Common Factor Method
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Now, list down the factors of 1689
:1,3,563,1689
Greatest Common Factor
We found the factors 352,1689 . The biggest common factor number is the GCF number.
So the greatest common factor 352,1689 is 1.
Lets's calculate LCM of 311,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 162653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162653
Therefore, the GCF of Fractions 352/311,1689/523 is 1/162653
Least Common Multiple of 311,523 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 311,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,523) x common factors =1 x 1 = 1
LCM(311,523) = ( 311 × 523 ) / 1
LCM(311,523) = 162653 / 1
LCM(311,523) = 162653
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FAQs on GCF of Fractions of 352/311, 1689/523
1. What is the HCF of 352,1689?
The HCF of 352,1689 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 352/311, 1689/523?
Answer: GCF of Numerators as per given numbers 352/311, 1689/523 is
GCF of Numerators i.e. for 352,1689 is 1
LCM of denominators i.e. for 311,523 is 162653.
Thus, GCF of Fractions is 1/162653.Finally, GCF of Fractions for 352/311, 1689/523 is 1/162653.