Use our free GCF of Fractions Calculator tool to compute the GCF of 830/454, 172/128 i.e 2/29056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/454, 172/128.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/454,172/128
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 830/454,172/128, numerators are 830,172
Denominators are 454,128
The GCF of 830,172 is 2 .
LCM of 454,128 is 29056.
The greatest common factor of 830/454,172/128 = [GCF of 830,172]/[LCM of 454,128]= 2/29056
Therefore, the GCF of 830/454,172/128 is 2/29056.
To find the highest common factor of 830,172, we have to find the factors of both numbers and list the highest common factor.
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The factors of 172 are 1, 2, 4, 43, 86, 172
The HCF of 830,172 is 2.
Lets's calculate GCF of 830,172
2 | 830, 172 |
415, 86 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Now, list down the factors of 172
:1,2,4,43,86,172
Greatest Common Factor
We found the factors 830,172 . The biggest common factor number is the GCF number.
So the greatest common factor 830,172 is 2.
Lets's calculate LCM of 454,128
2 | 454, 128 |
227, 64 |
∴ So the LCM of the given numbers is 2 x 227 x 64 = 29056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29056
Therefore, the GCF of Fractions 830/454,172/128 is 2/29056
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 454,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,128) x common factors =2 x 1 = 2
LCM(454,128) = ( 454 × 128 ) / 2
LCM(454,128) = 58112 / 2
LCM(454,128) = 29056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 830,172?
The HCF of 830,172 is 2
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 830/454, 172/128?
Answer: GCF of Numerators as per given numbers 830/454, 172/128 is
GCF of Numerators i.e. for 830,172 is 2
LCM of denominators i.e. for 454,128 is 29056.
Thus, GCF of Fractions is 2/29056.Finally, GCF of Fractions for 830/454, 172/128 is 2/29056.