GCF of 6529/646, 2797/6212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6529/646, 2797/6212 i.e 1/2006476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6529/646, 2797/6212.
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 6529/646,2797/6212?
Given fractions are 6529/646,2797/6212
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 6529/646,2797/6212, numerators are 6529,2797
Denominators are 646,6212
The GCF of 6529,2797 is 1 .
LCM of 646,6212 is 2006476.
The greatest common factor of 6529/646,2797/6212 = [GCF of 6529,2797]/[LCM of 646,6212]= 1/2006476
Therefore, the GCF of 6529/646,2797/6212 is 1/2006476.
To find the highest common factor of 6529,2797, we have to find the factors of both numbers and list the highest common factor.
The factors of 6529 are 1, 6529
The factors of 2797 are 1, 2797
The HCF of 6529,2797 is 1.
Lets's calculate GCF of 6529,2797
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6529,2797 By Matching Biggest Common Factor Method
Now, list down the factors of 6529
:1,6529
Now, list down the factors of 2797
:1,2797
Greatest Common Factor
We found the factors 6529,2797 . The biggest common factor number is the GCF number.
So the greatest common factor 6529,2797 is 1.
Lets's calculate LCM of 646,6212
| 2 | 646, 6212 |
| 323, 3106 |
∴ So the LCM of the given numbers is 2 x 323 x 3106 = 2006476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2006476
Therefore, the GCF of Fractions 6529/646,2797/6212 is 1/2006476
Least Common Multiple of 646,6212 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 646,6212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,6212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,6212) x common factors =2 x 1 = 2
LCM(646,6212) = ( 646 × 6212 ) / 2
LCM(646,6212) = 4012952 / 2
LCM(646,6212) = 2006476
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6529/646, 2797/6212
1. What is the HCF of 6529,2797?
The HCF of 6529,2797 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 6529/646, 2797/6212?
Answer: GCF of Numerators as per given numbers 6529/646, 2797/6212 is
GCF of Numerators i.e. for 6529,2797 is 1
LCM of denominators i.e. for 646,6212 is 2006476.
Thus, GCF of Fractions is 1/2006476.Finally, GCF of Fractions for 6529/646, 2797/6212 is 1/2006476.