GCF of 423/30, 790/2105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 423/30, 790/2105 i.e 1/12630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/30, 790/2105.
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 423/30,790/2105?
Given fractions are 423/30,790/2105
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 423/30,790/2105, numerators are 423,790
Denominators are 30,2105
The GCF of 423,790 is 1 .
LCM of 30,2105 is 12630.
The greatest common factor of 423/30,790/2105 = [GCF of 423,790]/[LCM of 30,2105]= 1/12630
Therefore, the GCF of 423/30,790/2105 is 1/12630.
To find the highest common factor of 423,790, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The HCF of 423,790 is 1.
Lets's calculate GCF of 423,790
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 423,790 By Matching Biggest Common Factor Method
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Greatest Common Factor
We found the factors 423,790 . The biggest common factor number is the GCF number.
So the greatest common factor 423,790 is 1.
Lets's calculate LCM of 30,2105
| 5 | 30, 2105 |
| 6, 421 |
∴ So the LCM of the given numbers is 5 x 6 x 421 = 12630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12630
Therefore, the GCF of Fractions 423/30,790/2105 is 1/12630
Least Common Multiple of 30,2105 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 30,2105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,2105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(30,2105) x common factors =5 x 1 = 5
LCM(30,2105) = ( 30 × 2105 ) / 5
LCM(30,2105) = 63150 / 5
LCM(30,2105) = 12630
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FAQs on GCF of Fractions of 423/30, 790/2105
1. What is the HCF of 423,790?
The HCF of 423,790 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 423/30, 790/2105?
Answer: GCF of Numerators as per given numbers 423/30, 790/2105 is
GCF of Numerators i.e. for 423,790 is 1
LCM of denominators i.e. for 30,2105 is 12630.
Thus, GCF of Fractions is 1/12630.Finally, GCF of Fractions for 423/30, 790/2105 is 1/12630.