GCF of 7205/340, 5761/4207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7205/340, 5761/4207 i.e 1/1430380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7205/340, 5761/4207.
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 7205/340,5761/4207?
Given fractions are 7205/340,5761/4207
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 7205/340,5761/4207, numerators are 7205,5761
Denominators are 340,4207
The GCF of 7205,5761 is 1 .
LCM of 340,4207 is 1430380.
The greatest common factor of 7205/340,5761/4207 = [GCF of 7205,5761]/[LCM of 340,4207]= 1/1430380
Therefore, the GCF of 7205/340,5761/4207 is 1/1430380.
To find the highest common factor of 7205,5761, we have to find the factors of both numbers and list the highest common factor.
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The factors of 5761 are 1, 7, 823, 5761
The HCF of 7205,5761 is 1.
Lets's calculate GCF of 7205,5761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7205,5761 By Matching Biggest Common Factor Method
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Now, list down the factors of 5761
:1,7,823,5761
Greatest Common Factor
We found the factors 7205,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 7205,5761 is 1.
Lets's calculate LCM of 340,4207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1430380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1430380
Therefore, the GCF of Fractions 7205/340,5761/4207 is 1/1430380
Least Common Multiple of 340,4207 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 340,4207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,4207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,4207) x common factors =1 x 1 = 1
LCM(340,4207) = ( 340 × 4207 ) / 1
LCM(340,4207) = 1430380 / 1
LCM(340,4207) = 1430380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7205/340, 5761/4207
1. What is the HCF of 7205,5761?
The HCF of 7205,5761 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 7205/340, 5761/4207?
Answer: GCF of Numerators as per given numbers 7205/340, 5761/4207 is
GCF of Numerators i.e. for 7205,5761 is 1
LCM of denominators i.e. for 340,4207 is 1430380.
Thus, GCF of Fractions is 1/1430380.Finally, GCF of Fractions for 7205/340, 5761/4207 is 1/1430380.