GCF of 7569/106, 6451/8210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7569/106, 6451/8210 i.e 1/435130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7569/106, 6451/8210.
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 7569/106,6451/8210?
Given fractions are 7569/106,6451/8210
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 7569/106,6451/8210, numerators are 7569,6451
Denominators are 106,8210
The GCF of 7569,6451 is 1 .
LCM of 106,8210 is 435130.
The greatest common factor of 7569/106,6451/8210 = [GCF of 7569,6451]/[LCM of 106,8210]= 1/435130
Therefore, the GCF of 7569/106,6451/8210 is 1/435130.
To find the highest common factor of 7569,6451, we have to find the factors of both numbers and list the highest common factor.
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The factors of 6451 are 1, 6451
The HCF of 7569,6451 is 1.
Lets's calculate GCF of 7569,6451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7569,6451 By Matching Biggest Common Factor Method
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Now, list down the factors of 6451
:1,6451
Greatest Common Factor
We found the factors 7569,6451 . The biggest common factor number is the GCF number.
So the greatest common factor 7569,6451 is 1.
Lets's calculate LCM of 106,8210
| 2 | 106, 8210 |
| 53, 4105 |
∴ So the LCM of the given numbers is 2 x 53 x 4105 = 435130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435130
Therefore, the GCF of Fractions 7569/106,6451/8210 is 1/435130
Least Common Multiple of 106,8210 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 106,8210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,8210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,8210) x common factors =2 x 1 = 2
LCM(106,8210) = ( 106 × 8210 ) / 2
LCM(106,8210) = 870260 / 2
LCM(106,8210) = 435130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7569/106, 6451/8210
1. What is the HCF of 7569,6451?
The HCF of 7569,6451 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 7569/106, 6451/8210?
Answer: GCF of Numerators as per given numbers 7569/106, 6451/8210 is
GCF of Numerators i.e. for 7569,6451 is 1
LCM of denominators i.e. for 106,8210 is 435130.
Thus, GCF of Fractions is 1/435130.Finally, GCF of Fractions for 7569/106, 6451/8210 is 1/435130.