GCF of 904/457, 956/185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 904/457, 956/185 i.e 4/84545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/457, 956/185.
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 904/457,956/185?
Given fractions are 904/457,956/185
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 904/457,956/185, numerators are 904,956
Denominators are 457,185
The GCF of 904,956 is 4 .
LCM of 457,185 is 84545.
The greatest common factor of 904/457,956/185 = [GCF of 904,956]/[LCM of 457,185]= 4/84545
Therefore, the GCF of 904/457,956/185 is 4/84545.
To find the highest common factor of 904,956, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 956 are 1, 2, 4, 239, 478, 956
The HCF of 904,956 is 4.
Lets's calculate GCF of 904,956
| 2 | 904, 956 |
| 2 | 452, 478 |
| 226, 239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 904,956 By Matching Biggest Common Factor Method
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 956
:1,2,4,239,478,956
Greatest Common Factor
We found the factors 904,956 . The biggest common factor number is the GCF number.
So the greatest common factor 904,956 is 4.
Lets's calculate LCM of 457,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 84545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84545
Therefore, the GCF of Fractions 904/457,956/185 is 4/84545
Least Common Multiple of 457,185 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 457,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,185) x common factors =1 x 1 = 1
LCM(457,185) = ( 457 × 185 ) / 1
LCM(457,185) = 84545 / 1
LCM(457,185) = 84545
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 904/457, 956/185
1. What is the HCF of 904,956?
The HCF of 904,956 is 4
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 904/457, 956/185?
Answer: GCF of Numerators as per given numbers 904/457, 956/185 is
GCF of Numerators i.e. for 904,956 is 4
LCM of denominators i.e. for 457,185 is 84545.
Thus, GCF of Fractions is 4/84545.Finally, GCF of Fractions for 904/457, 956/185 is 4/84545.