GCF of 28/357, 29/882, 908/164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/357, 29/882, 908/164 i.e 1/1229508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/357, 29/882, 908/164.
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 28/357,29/882,908/164?
Given fractions are 28/357,29/882,908/164
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 28/357,29/882,908/164, numerators are 28,29,908
Denominators are 357,882,164
The GCF of 28,29,908 is 1 .
LCM of 357,882,164 is 1229508.
The greatest common factor of 28/357,29/882,908/164 = [GCF of 28,29,908]/[LCM of 357,882,164]= 1/1229508
Therefore, the GCF of 28/357,29/882,908/164 is 1/1229508.
To find the highest common factor of 28,29,908, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 29 are 1, 29
The factors of 908 are 1, 2, 4, 227, 454, 908
The HCF of 28,29,908 is 1.
Lets's calculate GCF of 28,29,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,29,908 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 29
:1,29
Now, list down the factors of 908
:1,2,4,227,454,908
Greatest Common Factor
We found the factors 28,29,908 . The biggest common factor number is the GCF number.
So the greatest common factor 28,29,908 is 1.
Lets's calculate LCM of 357,882,164
| 2 | 357, 882, 164 |
| 3 | 357, 441, 82 |
| 7 | 119, 147, 82 |
| 17, 21, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 21 x 82 = 1229508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229508
Therefore, the GCF of Fractions 28/357,29/882,908/164 is 1/1229508
Least Common Multiple of 357,882,164 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 357,882,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,882,164) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(357,882,164) x common factors =1 x 42 = 42
LCM(357,882,164) = ( 357 × 882 × 164 ) / 42
LCM(357,882,164) = 51639336 / 42
LCM(357,882,164) = 1229508
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/357, 29/882, 908/164
1. What is the HCF of 28,29,908?
The HCF of 28,29,908 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 28/357, 29/882, 908/164?
Answer: GCF of Numerators as per given numbers 28/357, 29/882, 908/164 is
GCF of Numerators i.e. for 28,29,908 is 1
LCM of denominators i.e. for 357,882,164 is 1229508.
Thus, GCF of Fractions is 1/1229508.Finally, GCF of Fractions for 28/357, 29/882, 908/164 is 1/1229508.