GCF of 6052/575, 5735/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6052/575, 5735/761 i.e 1/437575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6052/575, 5735/761.
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 6052/575,5735/761?
Given fractions are 6052/575,5735/761
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 6052/575,5735/761, numerators are 6052,5735
Denominators are 575,761
The GCF of 6052,5735 is 1 .
LCM of 575,761 is 437575.
The greatest common factor of 6052/575,5735/761 = [GCF of 6052,5735]/[LCM of 575,761]= 1/437575
Therefore, the GCF of 6052/575,5735/761 is 1/437575.
To find the highest common factor of 6052,5735, we have to find the factors of both numbers and list the highest common factor.
The factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052
The factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735
The HCF of 6052,5735 is 1.
Lets's calculate GCF of 6052,5735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6052,5735 By Matching Biggest Common Factor Method
Now, list down the factors of 6052
:1,2,4,17,34,68,89,178,356,1513,3026,6052
Now, list down the factors of 5735
:1,5,31,37,155,185,1147,5735
Greatest Common Factor
We found the factors 6052,5735 . The biggest common factor number is the GCF number.
So the greatest common factor 6052,5735 is 1.
Lets's calculate LCM of 575,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 437575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437575
Therefore, the GCF of Fractions 6052/575,5735/761 is 1/437575
Least Common Multiple of 575,761 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 575,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,761) x common factors =1 x 1 = 1
LCM(575,761) = ( 575 × 761 ) / 1
LCM(575,761) = 437575 / 1
LCM(575,761) = 437575
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6052/575, 5735/761
1. What is the HCF of 6052,5735?
The HCF of 6052,5735 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 6052/575, 5735/761?
Answer: GCF of Numerators as per given numbers 6052/575, 5735/761 is
GCF of Numerators i.e. for 6052,5735 is 1
LCM of denominators i.e. for 575,761 is 437575.
Thus, GCF of Fractions is 1/437575.Finally, GCF of Fractions for 6052/575, 5735/761 is 1/437575.