GCF of 722/78, 229/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 722/78, 229/735 i.e 1/19110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/78, 229/735.
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 722/78,229/735?
Given fractions are 722/78,229/735
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 722/78,229/735, numerators are 722,229
Denominators are 78,735
The GCF of 722,229 is 1 .
LCM of 78,735 is 19110.
The greatest common factor of 722/78,229/735 = [GCF of 722,229]/[LCM of 78,735]= 1/19110
Therefore, the GCF of 722/78,229/735 is 1/19110.
To find the highest common factor of 722,229, 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 229 are 1, 229
The HCF of 722,229 is 1.
Lets's calculate GCF of 722,229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 722,229 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 229
:1,229
Greatest Common Factor
We found the factors 722,229 . The biggest common factor number is the GCF number.
So the greatest common factor 722,229 is 1.
Lets's calculate LCM of 78,735
| 3 | 78, 735 |
| 26, 245 |
∴ So the LCM of the given numbers is 3 x 26 x 245 = 19110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19110
Therefore, the GCF of Fractions 722/78,229/735 is 1/19110
Least Common Multiple of 78,735 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 78,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(78,735) x common factors =3 x 1 = 3
LCM(78,735) = ( 78 × 735 ) / 3
LCM(78,735) = 57330 / 3
LCM(78,735) = 19110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 722/78, 229/735
1. What is the HCF of 722,229?
The HCF of 722,229 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 722/78, 229/735?
Answer: GCF of Numerators as per given numbers 722/78, 229/735 is
GCF of Numerators i.e. for 722,229 is 1
LCM of denominators i.e. for 78,735 is 19110.
Thus, GCF of Fractions is 1/19110.Finally, GCF of Fractions for 722/78, 229/735 is 1/19110.