GCF of 6297/561, 7114/7299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6297/561, 7114/7299 i.e 1/1364913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6297/561, 7114/7299.
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 6297/561,7114/7299?
Given fractions are 6297/561,7114/7299
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 6297/561,7114/7299, numerators are 6297,7114
Denominators are 561,7299
The GCF of 6297,7114 is 1 .
LCM of 561,7299 is 1364913.
The greatest common factor of 6297/561,7114/7299 = [GCF of 6297,7114]/[LCM of 561,7299]= 1/1364913
Therefore, the GCF of 6297/561,7114/7299 is 1/1364913.
To find the highest common factor of 6297,7114, we have to find the factors of both numbers and list the highest common factor.
The factors of 6297 are 1, 3, 2099, 6297
The factors of 7114 are 1, 2, 3557, 7114
The HCF of 6297,7114 is 1.
Lets's calculate GCF of 6297,7114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6297,7114 By Matching Biggest Common Factor Method
Now, list down the factors of 6297
:1,3,2099,6297
Now, list down the factors of 7114
:1,2,3557,7114
Greatest Common Factor
We found the factors 6297,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 6297,7114 is 1.
Lets's calculate LCM of 561,7299
| 3 | 561, 7299 |
| 187, 2433 |
∴ So the LCM of the given numbers is 3 x 187 x 2433 = 1364913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1364913
Therefore, the GCF of Fractions 6297/561,7114/7299 is 1/1364913
Least Common Multiple of 561,7299 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 561,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7299) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7299) x common factors =3 x 1 = 3
LCM(561,7299) = ( 561 × 7299 ) / 3
LCM(561,7299) = 4094739 / 3
LCM(561,7299) = 1364913
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6297/561, 7114/7299
1. What is the HCF of 6297,7114?
The HCF of 6297,7114 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 6297/561, 7114/7299?
Answer: GCF of Numerators as per given numbers 6297/561, 7114/7299 is
GCF of Numerators i.e. for 6297,7114 is 1
LCM of denominators i.e. for 561,7299 is 1364913.
Thus, GCF of Fractions is 1/1364913.Finally, GCF of Fractions for 6297/561, 7114/7299 is 1/1364913.