GCF of 933/292, 409/799, 619/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 933/292, 409/799, 619/712 i.e 1/41528824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 933/292, 409/799, 619/712.
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 933/292,409/799,619/712?
Given fractions are 933/292,409/799,619/712
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 933/292,409/799,619/712, numerators are 933,409,619
Denominators are 292,799,712
The GCF of 933,409,619 is 1 .
LCM of 292,799,712 is 41528824.
The greatest common factor of 933/292,409/799,619/712 = [GCF of 933,409,619]/[LCM of 292,799,712]= 1/41528824
Therefore, the GCF of 933/292,409/799,619/712 is 1/41528824.
To find the highest common factor of 933,409,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 933 are 1, 3, 311, 933
The factors of 409 are 1, 409
The factors of 619 are 1, 619
The HCF of 933,409,619 is 1.
Lets's calculate GCF of 933,409,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 933,409,619 By Matching Biggest Common Factor Method
Now, list down the factors of 933
:1,3,311,933
Now, list down the factors of 409
:1,409
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 933,409,619 . The biggest common factor number is the GCF number.
So the greatest common factor 933,409,619 is 1.
Lets's calculate LCM of 292,799,712
| 2 | 292, 799, 712 |
| 2 | 146, 799, 356 |
| 73, 799, 178 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 799 x 178 = 41528824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41528824
Therefore, the GCF of Fractions 933/292,409/799,619/712 is 1/41528824
Least Common Multiple of 292,799,712 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 292,799,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,799,712) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(292,799,712) x common factors =1 x 4 = 4
LCM(292,799,712) = ( 292 × 799 × 712 ) / 4
LCM(292,799,712) = 166115296 / 4
LCM(292,799,712) = 41528824
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 933/292, 409/799, 619/712
1. What is the HCF of 933,409,619?
The HCF of 933,409,619 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 933/292, 409/799, 619/712?
Answer: GCF of Numerators as per given numbers 933/292, 409/799, 619/712 is
GCF of Numerators i.e. for 933,409,619 is 1
LCM of denominators i.e. for 292,799,712 is 41528824.
Thus, GCF of Fractions is 1/41528824.Finally, GCF of Fractions for 933/292, 409/799, 619/712 is 1/41528824.