GCF of 28/682, 82/412, 167/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/682, 82/412, 167/529 i.e 1/74320268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/682, 82/412, 167/529.
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 28/682,82/412,167/529?
Given fractions are 28/682,82/412,167/529
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 28/682,82/412,167/529, numerators are 28,82,167
Denominators are 682,412,529
The GCF of 28,82,167 is 1 .
LCM of 682,412,529 is 74320268.
The greatest common factor of 28/682,82/412,167/529 = [GCF of 28,82,167]/[LCM of 682,412,529]= 1/74320268
Therefore, the GCF of 28/682,82/412,167/529 is 1/74320268.
To find the highest common factor of 28,82,167, 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 82 are 1, 2, 41, 82
The factors of 167 are 1, 167
The HCF of 28,82,167 is 1.
Lets's calculate GCF of 28,82,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,82,167 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 82
:1,2,41,82
Now, list down the factors of 167
:1,167
Greatest Common Factor
We found the factors 28,82,167 . The biggest common factor number is the GCF number.
So the greatest common factor 28,82,167 is 1.
Lets's calculate LCM of 682,412,529
| 2 | 682, 412, 529 |
| 341, 206, 529 |
∴ So the LCM of the given numbers is 2 x 341 x 206 x 529 = 74320268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74320268
Therefore, the GCF of Fractions 28/682,82/412,167/529 is 1/74320268
Least Common Multiple of 682,412,529 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 682,412,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,412,529) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(682,412,529) x common factors =1 x 2 = 2
LCM(682,412,529) = ( 682 × 412 × 529 ) / 2
LCM(682,412,529) = 148640536 / 2
LCM(682,412,529) = 74320268
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FAQs on GCF of Fractions of 28/682, 82/412, 167/529
1. What is the HCF of 28,82,167?
The HCF of 28,82,167 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 28/682, 82/412, 167/529?
Answer: GCF of Numerators as per given numbers 28/682, 82/412, 167/529 is
GCF of Numerators i.e. for 28,82,167 is 1
LCM of denominators i.e. for 682,412,529 is 74320268.
Thus, GCF of Fractions is 1/74320268.Finally, GCF of Fractions for 28/682, 82/412, 167/529 is 1/74320268.