GCF of 581/311, 532/209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/311, 532/209 i.e 7/64999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/311, 532/209.
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 581/311,532/209?
Given fractions are 581/311,532/209
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 581/311,532/209, numerators are 581,532
Denominators are 311,209
The GCF of 581,532 is 7 .
LCM of 311,209 is 64999.
The greatest common factor of 581/311,532/209 = [GCF of 581,532]/[LCM of 311,209]= 7/64999
Therefore, the GCF of 581/311,532/209 is 7/64999.
To find the highest common factor of 581,532, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 581,532 is 7.
Lets's calculate GCF of 581,532
| 7 | 581, 532 |
| 83, 76 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 581,532 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 581,532 . The biggest common factor number is the GCF number.
So the greatest common factor 581,532 is 7.
Lets's calculate LCM of 311,209
Given numbers has no common factors except 1. So, there LCM is their product i.e 64999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/64999
Therefore, the GCF of Fractions 581/311,532/209 is 7/64999
Least Common Multiple of 311,209 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 311,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,209) x common factors =1 x 1 = 1
LCM(311,209) = ( 311 × 209 ) / 1
LCM(311,209) = 64999 / 1
LCM(311,209) = 64999
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FAQs on GCF of Fractions of 581/311, 532/209
1. What is the HCF of 581,532?
The HCF of 581,532 is 7
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 581/311, 532/209?
Answer: GCF of Numerators as per given numbers 581/311, 532/209 is
GCF of Numerators i.e. for 581,532 is 7
LCM of denominators i.e. for 311,209 is 64999.
Thus, GCF of Fractions is 7/64999.Finally, GCF of Fractions for 581/311, 532/209 is 7/64999.