GCF of 4527/342, 1409/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4527/342, 1409/207 i.e 1/7866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4527/342, 1409/207.
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 4527/342,1409/207?
Given fractions are 4527/342,1409/207
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 4527/342,1409/207, numerators are 4527,1409
Denominators are 342,207
The GCF of 4527,1409 is 1 .
LCM of 342,207 is 7866.
The greatest common factor of 4527/342,1409/207 = [GCF of 4527,1409]/[LCM of 342,207]= 1/7866
Therefore, the GCF of 4527/342,1409/207 is 1/7866.
To find the highest common factor of 4527,1409, we have to find the factors of both numbers and list the highest common factor.
The factors of 4527 are 1, 3, 9, 503, 1509, 4527
The factors of 1409 are 1, 1409
The HCF of 4527,1409 is 1.
Lets's calculate GCF of 4527,1409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4527,1409 By Matching Biggest Common Factor Method
Now, list down the factors of 4527
:1,3,9,503,1509,4527
Now, list down the factors of 1409
:1,1409
Greatest Common Factor
We found the factors 4527,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 4527,1409 is 1.
Lets's calculate LCM of 342,207
| 3 | 342, 207 |
| 3 | 114, 69 |
| 38, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 23 = 7866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7866
Therefore, the GCF of Fractions 4527/342,1409/207 is 1/7866
Least Common Multiple of 342,207 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 342,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,207) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,207) x common factors =9 x 1 = 9
LCM(342,207) = ( 342 × 207 ) / 9
LCM(342,207) = 70794 / 9
LCM(342,207) = 7866
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4527/342, 1409/207
1. What is the HCF of 4527,1409?
The HCF of 4527,1409 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 4527/342, 1409/207?
Answer: GCF of Numerators as per given numbers 4527/342, 1409/207 is
GCF of Numerators i.e. for 4527,1409 is 1
LCM of denominators i.e. for 342,207 is 7866.
Thus, GCF of Fractions is 1/7866.Finally, GCF of Fractions for 4527/342, 1409/207 is 1/7866.