GCF of 20/172, 91/459, 373/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/172, 91/459, 373/497 i.e 1/39237156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/172, 91/459, 373/497.
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 20/172,91/459,373/497?
Given fractions are 20/172,91/459,373/497
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 20/172,91/459,373/497, numerators are 20,91,373
Denominators are 172,459,497
The GCF of 20,91,373 is 1 .
LCM of 172,459,497 is 39237156.
The greatest common factor of 20/172,91/459,373/497 = [GCF of 20,91,373]/[LCM of 172,459,497]= 1/39237156
Therefore, the GCF of 20/172,91/459,373/497 is 1/39237156.
To find the highest common factor of 20,91,373, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 91 are 1, 7, 13, 91
The factors of 373 are 1, 373
The HCF of 20,91,373 is 1.
Lets's calculate GCF of 20,91,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,91,373 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 373
:1,373
Greatest Common Factor
We found the factors 20,91,373 . The biggest common factor number is the GCF number.
So the greatest common factor 20,91,373 is 1.
Lets's calculate LCM of 172,459,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 39237156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39237156
Therefore, the GCF of Fractions 20/172,91/459,373/497 is 1/39237156
Least Common Multiple of 172,459,497 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 172,459,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,459,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,459,497) x common factors =1 x 1 = 1
LCM(172,459,497) = ( 172 × 459 × 497 ) / 1
LCM(172,459,497) = 39237156 / 1
LCM(172,459,497) = 39237156
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FAQs on GCF of Fractions of 20/172, 91/459, 373/497
1. What is the HCF of 20,91,373?
The HCF of 20,91,373 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 20/172, 91/459, 373/497?
Answer: GCF of Numerators as per given numbers 20/172, 91/459, 373/497 is
GCF of Numerators i.e. for 20,91,373 is 1
LCM of denominators i.e. for 172,459,497 is 39237156.
Thus, GCF of Fractions is 1/39237156.Finally, GCF of Fractions for 20/172, 91/459, 373/497 is 1/39237156.