GCF of 79/42, 258/81, 170/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 79/42, 258/81, 170/438 i.e 1/82782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/42, 258/81, 170/438.
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 79/42,258/81,170/438?
Given fractions are 79/42,258/81,170/438
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 79/42,258/81,170/438, numerators are 79,258,170
Denominators are 42,81,438
The GCF of 79,258,170 is 1 .
LCM of 42,81,438 is 82782.
The greatest common factor of 79/42,258/81,170/438 = [GCF of 79,258,170]/[LCM of 42,81,438]= 1/82782
Therefore, the GCF of 79/42,258/81,170/438 is 1/82782.
To find the highest common factor of 79,258,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 79,258,170 is 1.
Lets's calculate GCF of 79,258,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 79,258,170 By Matching Biggest Common Factor Method
Now, list down the factors of 79
:1,79
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 79,258,170 . The biggest common factor number is the GCF number.
So the greatest common factor 79,258,170 is 1.
Lets's calculate LCM of 42,81,438
| 2 | 42, 81, 438 |
| 3 | 21, 81, 219 |
| 7, 27, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 27 x 73 = 82782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82782
Therefore, the GCF of Fractions 79/42,258/81,170/438 is 1/82782
Least Common Multiple of 42,81,438 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 42,81,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,81,438) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(42,81,438) x common factors =3 x 6 = 18
LCM(42,81,438) = ( 42 × 81 × 438 ) / 18
LCM(42,81,438) = 1490076 / 18
LCM(42,81,438) = 82782
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FAQs on GCF of Fractions of 79/42, 258/81, 170/438
1. What is the HCF of 79,258,170?
The HCF of 79,258,170 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 79/42, 258/81, 170/438?
Answer: GCF of Numerators as per given numbers 79/42, 258/81, 170/438 is
GCF of Numerators i.e. for 79,258,170 is 1
LCM of denominators i.e. for 42,81,438 is 82782.
Thus, GCF of Fractions is 1/82782.Finally, GCF of Fractions for 79/42, 258/81, 170/438 is 1/82782.