GCF of 884/197, 832/463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 884/197, 832/463 i.e 52/91211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/197, 832/463.
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 884/197,832/463?
Given fractions are 884/197,832/463
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 884/197,832/463, numerators are 884,832
Denominators are 197,463
The GCF of 884,832 is 52 .
LCM of 197,463 is 91211.
The greatest common factor of 884/197,832/463 = [GCF of 884,832]/[LCM of 197,463]= 52/91211
Therefore, the GCF of 884/197,832/463 is 52/91211.
To find the highest common factor of 884,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 884,832 is 52.
Lets's calculate GCF of 884,832
| 2 | 884, 832 |
| 2 | 442, 416 |
| 13 | 221, 208 |
| 17, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 884,832 By Matching Biggest Common Factor Method
Now, list down the factors of 884
:1,2,4,13,17,26,34,52,68,221,442,884
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 884,832 . The biggest common factor number is the GCF number.
So the greatest common factor 884,832 is 52.
Lets's calculate LCM of 197,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 91211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/91211
Therefore, the GCF of Fractions 884/197,832/463 is 52/91211
Least Common Multiple of 197,463 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 197,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,463) x common factors =1 x 1 = 1
LCM(197,463) = ( 197 × 463 ) / 1
LCM(197,463) = 91211 / 1
LCM(197,463) = 91211
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 884/197, 832/463
1. What is the HCF of 884,832?
The HCF of 884,832 is 52
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 884/197, 832/463?
Answer: GCF of Numerators as per given numbers 884/197, 832/463 is
GCF of Numerators i.e. for 884,832 is 52
LCM of denominators i.e. for 197,463 is 91211.
Thus, GCF of Fractions is 52/91211.Finally, GCF of Fractions for 884/197, 832/463 is 52/91211.