GCF of 6401/572, 2829/9593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6401/572, 2829/9593 i.e 1/5487196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6401/572, 2829/9593.
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 6401/572,2829/9593?
Given fractions are 6401/572,2829/9593
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 6401/572,2829/9593, numerators are 6401,2829
Denominators are 572,9593
The GCF of 6401,2829 is 1 .
LCM of 572,9593 is 5487196.
The greatest common factor of 6401/572,2829/9593 = [GCF of 6401,2829]/[LCM of 572,9593]= 1/5487196
Therefore, the GCF of 6401/572,2829/9593 is 1/5487196.
To find the highest common factor of 6401,2829, we have to find the factors of both numbers and list the highest common factor.
The factors of 6401 are 1, 37, 173, 6401
The factors of 2829 are 1, 3, 23, 41, 69, 123, 943, 2829
The HCF of 6401,2829 is 1.
Lets's calculate GCF of 6401,2829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6401,2829 By Matching Biggest Common Factor Method
Now, list down the factors of 6401
:1,37,173,6401
Now, list down the factors of 2829
:1,3,23,41,69,123,943,2829
Greatest Common Factor
We found the factors 6401,2829 . The biggest common factor number is the GCF number.
So the greatest common factor 6401,2829 is 1.
Lets's calculate LCM of 572,9593
Given numbers has no common factors except 1. So, there LCM is their product i.e 5487196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5487196
Therefore, the GCF of Fractions 6401/572,2829/9593 is 1/5487196
Least Common Multiple of 572,9593 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 572,9593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,9593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,9593) x common factors =1 x 1 = 1
LCM(572,9593) = ( 572 × 9593 ) / 1
LCM(572,9593) = 5487196 / 1
LCM(572,9593) = 5487196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6401/572, 2829/9593
1. What is the HCF of 6401,2829?
The HCF of 6401,2829 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 6401/572, 2829/9593?
Answer: GCF of Numerators as per given numbers 6401/572, 2829/9593 is
GCF of Numerators i.e. for 6401,2829 is 1
LCM of denominators i.e. for 572,9593 is 5487196.
Thus, GCF of Fractions is 1/5487196.Finally, GCF of Fractions for 6401/572, 2829/9593 is 1/5487196.