GCF of 559/32, 532/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 559/32, 532/614 i.e 1/9824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/32, 532/614.
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 559/32,532/614?
Given fractions are 559/32,532/614
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 559/32,532/614, numerators are 559,532
Denominators are 32,614
The GCF of 559,532 is 1 .
LCM of 32,614 is 9824.
The greatest common factor of 559/32,532/614 = [GCF of 559,532]/[LCM of 32,614]= 1/9824
Therefore, the GCF of 559/32,532/614 is 1/9824.
To find the highest common factor of 559,532, we have to find the factors of both numbers and list the highest common factor.
The factors of 559 are 1, 13, 43, 559
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The HCF of 559,532 is 1.
Lets's calculate GCF of 559,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 559,532 By Matching Biggest Common Factor Method
Now, list down the factors of 559
:1,13,43,559
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 559,532 . The biggest common factor number is the GCF number.
So the greatest common factor 559,532 is 1.
Lets's calculate LCM of 32,614
| 2 | 32, 614 |
| 16, 307 |
∴ So the LCM of the given numbers is 2 x 16 x 307 = 9824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9824
Therefore, the GCF of Fractions 559/32,532/614 is 1/9824
Least Common Multiple of 32,614 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 32,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,614) x common factors =2 x 1 = 2
LCM(32,614) = ( 32 × 614 ) / 2
LCM(32,614) = 19648 / 2
LCM(32,614) = 9824
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FAQs on GCF of Fractions of 559/32, 532/614
1. What is the HCF of 559,532?
The HCF of 559,532 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 559/32, 532/614?
Answer: GCF of Numerators as per given numbers 559/32, 532/614 is
GCF of Numerators i.e. for 559,532 is 1
LCM of denominators i.e. for 32,614 is 9824.
Thus, GCF of Fractions is 1/9824.Finally, GCF of Fractions for 559/32, 532/614 is 1/9824.