GCF of 722/588, 775/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 722/588, 775/412 i.e 1/60564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/588, 775/412.
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 722/588,775/412?
Given fractions are 722/588,775/412
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 722/588,775/412, numerators are 722,775
Denominators are 588,412
The GCF of 722,775 is 1 .
LCM of 588,412 is 60564.
The greatest common factor of 722/588,775/412 = [GCF of 722,775]/[LCM of 588,412]= 1/60564
Therefore, the GCF of 722/588,775/412 is 1/60564.
To find the highest common factor of 722,775, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 775 are 1, 5, 25, 31, 155, 775
The HCF of 722,775 is 1.
Lets's calculate GCF of 722,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 722,775 By Matching Biggest Common Factor Method
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 775
:1,5,25,31,155,775
Greatest Common Factor
We found the factors 722,775 . The biggest common factor number is the GCF number.
So the greatest common factor 722,775 is 1.
Lets's calculate LCM of 588,412
| 2 | 588, 412 |
| 2 | 294, 206 |
| 147, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 103 = 60564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60564
Therefore, the GCF of Fractions 722/588,775/412 is 1/60564
Least Common Multiple of 588,412 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 588,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,412) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,412) x common factors =4 x 1 = 4
LCM(588,412) = ( 588 × 412 ) / 4
LCM(588,412) = 242256 / 4
LCM(588,412) = 60564
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 722/588, 775/412
1. What is the HCF of 722,775?
The HCF of 722,775 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 722/588, 775/412?
Answer: GCF of Numerators as per given numbers 722/588, 775/412 is
GCF of Numerators i.e. for 722,775 is 1
LCM of denominators i.e. for 588,412 is 60564.
Thus, GCF of Fractions is 1/60564.Finally, GCF of Fractions for 722/588, 775/412 is 1/60564.