GCF of 1790/678, 3229/7395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1790/678, 3229/7395 i.e 1/1671270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1790/678, 3229/7395.
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 1790/678,3229/7395?
Given fractions are 1790/678,3229/7395
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 1790/678,3229/7395, numerators are 1790,3229
Denominators are 678,7395
The GCF of 1790,3229 is 1 .
LCM of 678,7395 is 1671270.
The greatest common factor of 1790/678,3229/7395 = [GCF of 1790,3229]/[LCM of 678,7395]= 1/1671270
Therefore, the GCF of 1790/678,3229/7395 is 1/1671270.
To find the highest common factor of 1790,3229, we have to find the factors of both numbers and list the highest common factor.
The factors of 1790 are 1, 2, 5, 10, 179, 358, 895, 1790
The factors of 3229 are 1, 3229
The HCF of 1790,3229 is 1.
Lets's calculate GCF of 1790,3229
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1790,3229 By Matching Biggest Common Factor Method
Now, list down the factors of 1790
:1,2,5,10,179,358,895,1790
Now, list down the factors of 3229
:1,3229
Greatest Common Factor
We found the factors 1790,3229 . The biggest common factor number is the GCF number.
So the greatest common factor 1790,3229 is 1.
Lets's calculate LCM of 678,7395
| 3 | 678, 7395 |
| 226, 2465 |
∴ So the LCM of the given numbers is 3 x 226 x 2465 = 1671270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671270
Therefore, the GCF of Fractions 1790/678,3229/7395 is 1/1671270
Least Common Multiple of 678,7395 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 678,7395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7395) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7395) x common factors =3 x 1 = 3
LCM(678,7395) = ( 678 × 7395 ) / 3
LCM(678,7395) = 5013810 / 3
LCM(678,7395) = 1671270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1790/678, 3229/7395
1. What is the HCF of 1790,3229?
The HCF of 1790,3229 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 1790/678, 3229/7395?
Answer: GCF of Numerators as per given numbers 1790/678, 3229/7395 is
GCF of Numerators i.e. for 1790,3229 is 1
LCM of denominators i.e. for 678,7395 is 1671270.
Thus, GCF of Fractions is 1/1671270.Finally, GCF of Fractions for 1790/678, 3229/7395 is 1/1671270.