GCF of 190/680, 322/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 190/680, 322/294 i.e 2/99960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 190/680, 322/294.
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 190/680,322/294?
Given fractions are 190/680,322/294
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 190/680,322/294, numerators are 190,322
Denominators are 680,294
The GCF of 190,322 is 2 .
LCM of 680,294 is 99960.
The greatest common factor of 190/680,322/294 = [GCF of 190,322]/[LCM of 680,294]= 2/99960
Therefore, the GCF of 190/680,322/294 is 2/99960.
To find the highest common factor of 190,322, we have to find the factors of both numbers and list the highest common factor.
The factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The HCF of 190,322 is 2.
Lets's calculate GCF of 190,322
| 2 | 190, 322 |
| 95, 161 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 190,322 By Matching Biggest Common Factor Method
Now, list down the factors of 190
:1,2,5,10,19,38,95,190
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 190,322 . The biggest common factor number is the GCF number.
So the greatest common factor 190,322 is 2.
Lets's calculate LCM of 680,294
| 2 | 680, 294 |
| 340, 147 |
∴ So the LCM of the given numbers is 2 x 340 x 147 = 99960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99960
Therefore, the GCF of Fractions 190/680,322/294 is 2/99960
Least Common Multiple of 680,294 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 680,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,294) x common factors =2 x 1 = 2
LCM(680,294) = ( 680 × 294 ) / 2
LCM(680,294) = 199920 / 2
LCM(680,294) = 99960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 190/680, 322/294
1. What is the HCF of 190,322?
The HCF of 190,322 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 190/680, 322/294?
Answer: GCF of Numerators as per given numbers 190/680, 322/294 is
GCF of Numerators i.e. for 190,322 is 2
LCM of denominators i.e. for 680,294 is 99960.
Thus, GCF of Fractions is 2/99960.Finally, GCF of Fractions for 190/680, 322/294 is 2/99960.