GCF of 475/419, 2734/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 475/419, 2734/741 i.e 1/310479 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/419, 2734/741.
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 475/419,2734/741?
Given fractions are 475/419,2734/741
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 475/419,2734/741, numerators are 475,2734
Denominators are 419,741
The GCF of 475,2734 is 1 .
LCM of 419,741 is 310479.
The greatest common factor of 475/419,2734/741 = [GCF of 475,2734]/[LCM of 419,741]= 1/310479
Therefore, the GCF of 475/419,2734/741 is 1/310479.
To find the highest common factor of 475,2734, we have to find the factors of both numbers and list the highest common factor.
The factors of 475 are 1, 5, 19, 25, 95, 475
The factors of 2734 are 1, 2, 1367, 2734
The HCF of 475,2734 is 1.
Lets's calculate GCF of 475,2734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 475,2734 By Matching Biggest Common Factor Method
Now, list down the factors of 475
:1,5,19,25,95,475
Now, list down the factors of 2734
:1,2,1367,2734
Greatest Common Factor
We found the factors 475,2734 . The biggest common factor number is the GCF number.
So the greatest common factor 475,2734 is 1.
Lets's calculate LCM of 419,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 310479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310479
Therefore, the GCF of Fractions 475/419,2734/741 is 1/310479
Least Common Multiple of 419,741 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 419,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,741) x common factors =1 x 1 = 1
LCM(419,741) = ( 419 × 741 ) / 1
LCM(419,741) = 310479 / 1
LCM(419,741) = 310479
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FAQs on GCF of Fractions of 475/419, 2734/741
1. What is the HCF of 475,2734?
The HCF of 475,2734 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 475/419, 2734/741?
Answer: GCF of Numerators as per given numbers 475/419, 2734/741 is
GCF of Numerators i.e. for 475,2734 is 1
LCM of denominators i.e. for 419,741 is 310479.
Thus, GCF of Fractions is 1/310479.Finally, GCF of Fractions for 475/419, 2734/741 is 1/310479.