GCF of 322/30, 376/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 322/30, 376/319 i.e 2/9570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/30, 376/319.
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 322/30,376/319?
Given fractions are 322/30,376/319
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 322/30,376/319, numerators are 322,376
Denominators are 30,319
The GCF of 322,376 is 2 .
LCM of 30,319 is 9570.
The greatest common factor of 322/30,376/319 = [GCF of 322,376]/[LCM of 30,319]= 2/9570
Therefore, the GCF of 322/30,376/319 is 2/9570.
To find the highest common factor of 322,376, we have to find the factors of both numbers and list the highest common factor.
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376
The HCF of 322,376 is 2.
Lets's calculate GCF of 322,376
| 2 | 322, 376 |
| 161, 188 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 322,376 By Matching Biggest Common Factor Method
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Now, list down the factors of 376
:1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 322,376 . The biggest common factor number is the GCF number.
So the greatest common factor 322,376 is 2.
Lets's calculate LCM of 30,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 9570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9570
Therefore, the GCF of Fractions 322/30,376/319 is 2/9570
Least Common Multiple of 30,319 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 30,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,319) x common factors =1 x 1 = 1
LCM(30,319) = ( 30 × 319 ) / 1
LCM(30,319) = 9570 / 1
LCM(30,319) = 9570
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 322/30, 376/319
1. What is the HCF of 322,376?
The HCF of 322,376 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 322/30, 376/319?
Answer: GCF of Numerators as per given numbers 322/30, 376/319 is
GCF of Numerators i.e. for 322,376 is 2
LCM of denominators i.e. for 30,319 is 9570.
Thus, GCF of Fractions is 2/9570.Finally, GCF of Fractions for 322/30, 376/319 is 2/9570.