Use our free GCF of Fractions Calculator tool to compute the GCF of 925/466, 772/856 i.e 1/199448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/466, 772/856.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/466,772/856
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 925/466,772/856, numerators are 925,772
Denominators are 466,856
The GCF of 925,772 is 1 .
LCM of 466,856 is 199448.
The greatest common factor of 925/466,772/856 = [GCF of 925,772]/[LCM of 466,856]= 1/199448
Therefore, the GCF of 925/466,772/856 is 1/199448.
To find the highest common factor of 925,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 925,772 is 1.
Lets's calculate GCF of 925,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 925,772 . The biggest common factor number is the GCF number.
So the greatest common factor 925,772 is 1.
Lets's calculate LCM of 466,856
2 | 466, 856 |
233, 428 |
∴ So the LCM of the given numbers is 2 x 233 x 428 = 199448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199448
Therefore, the GCF of Fractions 925/466,772/856 is 1/199448
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 466,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,856) x common factors =2 x 1 = 2
LCM(466,856) = ( 466 × 856 ) / 2
LCM(466,856) = 398896 / 2
LCM(466,856) = 199448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 925,772?
The HCF of 925,772 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 925/466, 772/856?
Answer: GCF of Numerators as per given numbers 925/466, 772/856 is
GCF of Numerators i.e. for 925,772 is 1
LCM of denominators i.e. for 466,856 is 199448.
Thus, GCF of Fractions is 1/199448.Finally, GCF of Fractions for 925/466, 772/856 is 1/199448.