GCF of 1390/378, 7809/1389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1390/378, 7809/1389 i.e 1/175014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1390/378, 7809/1389.
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 1390/378,7809/1389?
Given fractions are 1390/378,7809/1389
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 1390/378,7809/1389, numerators are 1390,7809
Denominators are 378,1389
The GCF of 1390,7809 is 1 .
LCM of 378,1389 is 175014.
The greatest common factor of 1390/378,7809/1389 = [GCF of 1390,7809]/[LCM of 378,1389]= 1/175014
Therefore, the GCF of 1390/378,7809/1389 is 1/175014.
To find the highest common factor of 1390,7809, we have to find the factors of both numbers and list the highest common factor.
The factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390
The factors of 7809 are 1, 3, 19, 57, 137, 411, 2603, 7809
The HCF of 1390,7809 is 1.
Lets's calculate GCF of 1390,7809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1390,7809 By Matching Biggest Common Factor Method
Now, list down the factors of 1390
:1,2,5,10,139,278,695,1390
Now, list down the factors of 7809
:1,3,19,57,137,411,2603,7809
Greatest Common Factor
We found the factors 1390,7809 . The biggest common factor number is the GCF number.
So the greatest common factor 1390,7809 is 1.
Lets's calculate LCM of 378,1389
| 3 | 378, 1389 |
| 126, 463 |
∴ So the LCM of the given numbers is 3 x 126 x 463 = 175014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175014
Therefore, the GCF of Fractions 1390/378,7809/1389 is 1/175014
Least Common Multiple of 378,1389 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 378,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,1389) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,1389) x common factors =3 x 1 = 3
LCM(378,1389) = ( 378 × 1389 ) / 3
LCM(378,1389) = 525042 / 3
LCM(378,1389) = 175014
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FAQs on GCF of Fractions of 1390/378, 7809/1389
1. What is the HCF of 1390,7809?
The HCF of 1390,7809 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 1390/378, 7809/1389?
Answer: GCF of Numerators as per given numbers 1390/378, 7809/1389 is
GCF of Numerators i.e. for 1390,7809 is 1
LCM of denominators i.e. for 378,1389 is 175014.
Thus, GCF of Fractions is 1/175014.Finally, GCF of Fractions for 1390/378, 7809/1389 is 1/175014.