GCF of 494/68, 775/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 494/68, 775/928 i.e 1/15776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/68, 775/928.
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 494/68,775/928?
Given fractions are 494/68,775/928
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 494/68,775/928, numerators are 494,775
Denominators are 68,928
The GCF of 494,775 is 1 .
LCM of 68,928 is 15776.
The greatest common factor of 494/68,775/928 = [GCF of 494,775]/[LCM of 68,928]= 1/15776
Therefore, the GCF of 494/68,775/928 is 1/15776.
To find the highest common factor of 494,775, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 775 are 1, 5, 25, 31, 155, 775
The HCF of 494,775 is 1.
Lets's calculate GCF of 494,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 494,775 By Matching Biggest Common Factor Method
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 775
:1,5,25,31,155,775
Greatest Common Factor
We found the factors 494,775 . The biggest common factor number is the GCF number.
So the greatest common factor 494,775 is 1.
Lets's calculate LCM of 68,928
| 2 | 68, 928 |
| 2 | 34, 464 |
| 17, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 232 = 15776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15776
Therefore, the GCF of Fractions 494/68,775/928 is 1/15776
Least Common Multiple of 68,928 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 68,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,928) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,928) x common factors =4 x 1 = 4
LCM(68,928) = ( 68 × 928 ) / 4
LCM(68,928) = 63104 / 4
LCM(68,928) = 15776
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 494/68, 775/928
1. What is the HCF of 494,775?
The HCF of 494,775 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 494/68, 775/928?
Answer: GCF of Numerators as per given numbers 494/68, 775/928 is
GCF of Numerators i.e. for 494,775 is 1
LCM of denominators i.e. for 68,928 is 15776.
Thus, GCF of Fractions is 1/15776.Finally, GCF of Fractions for 494/68, 775/928 is 1/15776.