GCF of 451/100, 731/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/100, 731/319 i.e 1/31900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/100, 731/319.
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 451/100,731/319?
Given fractions are 451/100,731/319
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 451/100,731/319, numerators are 451,731
Denominators are 100,319
The GCF of 451,731 is 1 .
LCM of 100,319 is 31900.
The greatest common factor of 451/100,731/319 = [GCF of 451,731]/[LCM of 100,319]= 1/31900
Therefore, the GCF of 451/100,731/319 is 1/31900.
To find the highest common factor of 451,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 731 are 1, 17, 43, 731
The HCF of 451,731 is 1.
Lets's calculate GCF of 451,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 451,731 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 451,731 . The biggest common factor number is the GCF number.
So the greatest common factor 451,731 is 1.
Lets's calculate LCM of 100,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 31900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31900
Therefore, the GCF of Fractions 451/100,731/319 is 1/31900
Least Common Multiple of 100,319 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 100,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,319) x common factors =1 x 1 = 1
LCM(100,319) = ( 100 × 319 ) / 1
LCM(100,319) = 31900 / 1
LCM(100,319) = 31900
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FAQs on GCF of Fractions of 451/100, 731/319
1. What is the HCF of 451,731?
The HCF of 451,731 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 451/100, 731/319?
Answer: GCF of Numerators as per given numbers 451/100, 731/319 is
GCF of Numerators i.e. for 451,731 is 1
LCM of denominators i.e. for 100,319 is 31900.
Thus, GCF of Fractions is 1/31900.Finally, GCF of Fractions for 451/100, 731/319 is 1/31900.