GCF of 477/67, 731/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 477/67, 731/455 i.e 1/30485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/67, 731/455.
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 477/67,731/455?
Given fractions are 477/67,731/455
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 477/67,731/455, numerators are 477,731
Denominators are 67,455
The GCF of 477,731 is 1 .
LCM of 67,455 is 30485.
The greatest common factor of 477/67,731/455 = [GCF of 477,731]/[LCM of 67,455]= 1/30485
Therefore, the GCF of 477/67,731/455 is 1/30485.
To find the highest common factor of 477,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 731 are 1, 17, 43, 731
The HCF of 477,731 is 1.
Lets's calculate GCF of 477,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 477,731 By Matching Biggest Common Factor Method
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 477,731 . The biggest common factor number is the GCF number.
So the greatest common factor 477,731 is 1.
Lets's calculate LCM of 67,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 30485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30485
Therefore, the GCF of Fractions 477/67,731/455 is 1/30485
Least Common Multiple of 67,455 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 67,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,455) x common factors =1 x 1 = 1
LCM(67,455) = ( 67 × 455 ) / 1
LCM(67,455) = 30485 / 1
LCM(67,455) = 30485
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FAQs on GCF of Fractions of 477/67, 731/455
1. What is the HCF of 477,731?
The HCF of 477,731 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 477/67, 731/455?
Answer: GCF of Numerators as per given numbers 477/67, 731/455 is
GCF of Numerators i.e. for 477,731 is 1
LCM of denominators i.e. for 67,455 is 30485.
Thus, GCF of Fractions is 1/30485.Finally, GCF of Fractions for 477/67, 731/455 is 1/30485.