GCF of 792/524, 809/276, 586/925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/524, 809/276, 586/925 i.e 1/33444300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/524, 809/276, 586/925.
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 792/524,809/276,586/925?
Given fractions are 792/524,809/276,586/925
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 792/524,809/276,586/925, numerators are 792,809,586
Denominators are 524,276,925
The GCF of 792,809,586 is 1 .
LCM of 524,276,925 is 33444300.
The greatest common factor of 792/524,809/276,586/925 = [GCF of 792,809,586]/[LCM of 524,276,925]= 1/33444300
Therefore, the GCF of 792/524,809/276,586/925 is 1/33444300.
To find the highest common factor of 792,809,586, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 809 are 1, 809
The factors of 586 are 1, 2, 293, 586
The HCF of 792,809,586 is 1.
Lets's calculate GCF of 792,809,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 792,809,586 By Matching Biggest Common Factor Method
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 809
:1,809
Now, list down the factors of 586
:1,2,293,586
Greatest Common Factor
We found the factors 792,809,586 . The biggest common factor number is the GCF number.
So the greatest common factor 792,809,586 is 1.
Lets's calculate LCM of 524,276,925
| 2 | 524, 276, 925 |
| 2 | 262, 138, 925 |
| 131, 69, 925 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 69 x 925 = 33444300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33444300
Therefore, the GCF of Fractions 792/524,809/276,586/925 is 1/33444300
Least Common Multiple of 524,276,925 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 524,276,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,276,925) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(524,276,925) x common factors =1 x 4 = 4
LCM(524,276,925) = ( 524 × 276 × 925 ) / 4
LCM(524,276,925) = 133777200 / 4
LCM(524,276,925) = 33444300
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 792/524, 809/276, 586/925
1. What is the HCF of 792,809,586?
The HCF of 792,809,586 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 792/524, 809/276, 586/925?
Answer: GCF of Numerators as per given numbers 792/524, 809/276, 586/925 is
GCF of Numerators i.e. for 792,809,586 is 1
LCM of denominators i.e. for 524,276,925 is 33444300.
Thus, GCF of Fractions is 1/33444300.Finally, GCF of Fractions for 792/524, 809/276, 586/925 is 1/33444300.