GCF of 79/84, 40/350, 442/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 79/84, 40/350, 442/462 i.e 1/23100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/84, 40/350, 442/462.
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 79/84,40/350,442/462?
Given fractions are 79/84,40/350,442/462
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 79/84,40/350,442/462, numerators are 79,40,442
Denominators are 84,350,462
The GCF of 79,40,442 is 1 .
LCM of 84,350,462 is 23100.
The greatest common factor of 79/84,40/350,442/462 = [GCF of 79,40,442]/[LCM of 84,350,462]= 1/23100
Therefore, the GCF of 79/84,40/350,442/462 is 1/23100.
To find the highest common factor of 79,40,442, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 79,40,442 is 1.
Lets's calculate GCF of 79,40,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 79,40,442 By Matching Biggest Common Factor Method
Now, list down the factors of 79
:1,79
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 79,40,442 . The biggest common factor number is the GCF number.
So the greatest common factor 79,40,442 is 1.
Lets's calculate LCM of 84,350,462
| 2 | 84, 350, 462 |
| 3 | 42, 175, 231 |
| 7 | 14, 175, 77 |
| 2, 25, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 25 x 11 = 23100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23100
Therefore, the GCF of Fractions 79/84,40/350,442/462 is 1/23100
Least Common Multiple of 84,350,462 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 84,350,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,350,462) = 14
common factors(in case of two or more numbers have common factors) = 42
GCF(84,350,462) x common factors =14 x 42 = 588
LCM(84,350,462) = ( 84 × 350 × 462 ) / 588
LCM(84,350,462) = 13582800 / 588
LCM(84,350,462) = 23100
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FAQs on GCF of Fractions of 79/84, 40/350, 442/462
1. What is the HCF of 79,40,442?
The HCF of 79,40,442 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 79/84, 40/350, 442/462?
Answer: GCF of Numerators as per given numbers 79/84, 40/350, 442/462 is
GCF of Numerators i.e. for 79,40,442 is 1
LCM of denominators i.e. for 84,350,462 is 23100.
Thus, GCF of Fractions is 1/23100.Finally, GCF of Fractions for 79/84, 40/350, 442/462 is 1/23100.