GCF of 725/212, 402/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 725/212, 402/575 i.e 1/121900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 725/212, 402/575.
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 725/212,402/575?
Given fractions are 725/212,402/575
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 725/212,402/575, numerators are 725,402
Denominators are 212,575
The GCF of 725,402 is 1 .
LCM of 212,575 is 121900.
The greatest common factor of 725/212,402/575 = [GCF of 725,402]/[LCM of 212,575]= 1/121900
Therefore, the GCF of 725/212,402/575 is 1/121900.
To find the highest common factor of 725,402, we have to find the factors of both numbers and list the highest common factor.
The factors of 725 are 1, 5, 25, 29, 145, 725
The factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402
The HCF of 725,402 is 1.
Lets's calculate GCF of 725,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 725,402 By Matching Biggest Common Factor Method
Now, list down the factors of 725
:1,5,25,29,145,725
Now, list down the factors of 402
:1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 725,402 . The biggest common factor number is the GCF number.
So the greatest common factor 725,402 is 1.
Lets's calculate LCM of 212,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 121900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121900
Therefore, the GCF of Fractions 725/212,402/575 is 1/121900
Least Common Multiple of 212,575 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 212,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,575) x common factors =1 x 1 = 1
LCM(212,575) = ( 212 × 575 ) / 1
LCM(212,575) = 121900 / 1
LCM(212,575) = 121900
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 725/212, 402/575
1. What is the HCF of 725,402?
The HCF of 725,402 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 725/212, 402/575?
Answer: GCF of Numerators as per given numbers 725/212, 402/575 is
GCF of Numerators i.e. for 725,402 is 1
LCM of denominators i.e. for 212,575 is 121900.
Thus, GCF of Fractions is 1/121900.Finally, GCF of Fractions for 725/212, 402/575 is 1/121900.