GCF of 487/637, 2941/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 487/637, 2941/627 i.e 1/399399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/637, 2941/627.
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 487/637,2941/627?
Given fractions are 487/637,2941/627
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 487/637,2941/627, numerators are 487,2941
Denominators are 637,627
The GCF of 487,2941 is 1 .
LCM of 637,627 is 399399.
The greatest common factor of 487/637,2941/627 = [GCF of 487,2941]/[LCM of 637,627]= 1/399399
Therefore, the GCF of 487/637,2941/627 is 1/399399.
To find the highest common factor of 487,2941, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 2941 are 1, 17, 173, 2941
The HCF of 487,2941 is 1.
Lets's calculate GCF of 487,2941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 487,2941 By Matching Biggest Common Factor Method
Now, list down the factors of 487
:1,487
Now, list down the factors of 2941
:1,17,173,2941
Greatest Common Factor
We found the factors 487,2941 . The biggest common factor number is the GCF number.
So the greatest common factor 487,2941 is 1.
Lets's calculate LCM of 637,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 399399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399399
Therefore, the GCF of Fractions 487/637,2941/627 is 1/399399
Least Common Multiple of 637,627 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 637,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,627) x common factors =1 x 1 = 1
LCM(637,627) = ( 637 × 627 ) / 1
LCM(637,627) = 399399 / 1
LCM(637,627) = 399399
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 487/637, 2941/627
1. What is the HCF of 487,2941?
The HCF of 487,2941 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 487/637, 2941/627?
Answer: GCF of Numerators as per given numbers 487/637, 2941/627 is
GCF of Numerators i.e. for 487,2941 is 1
LCM of denominators i.e. for 637,627 is 399399.
Thus, GCF of Fractions is 1/399399.Finally, GCF of Fractions for 487/637, 2941/627 is 1/399399.