GCF of 653/406, 9430/245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 653/406, 9430/245 i.e 1/14210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/406, 9430/245.
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 653/406,9430/245?
Given fractions are 653/406,9430/245
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 653/406,9430/245, numerators are 653,9430
Denominators are 406,245
The GCF of 653,9430 is 1 .
LCM of 406,245 is 14210.
The greatest common factor of 653/406,9430/245 = [GCF of 653,9430]/[LCM of 406,245]= 1/14210
Therefore, the GCF of 653/406,9430/245 is 1/14210.
To find the highest common factor of 653,9430, we have to find the factors of both numbers and list the highest common factor.
The factors of 653 are 1, 653
The factors of 9430 are 1, 2, 5, 10, 23, 41, 46, 82, 115, 205, 230, 410, 943, 1886, 4715, 9430
The HCF of 653,9430 is 1.
Lets's calculate GCF of 653,9430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 653,9430 By Matching Biggest Common Factor Method
Now, list down the factors of 653
:1,653
Now, list down the factors of 9430
:1,2,5,10,23,41,46,82,115,205,230,410,943,1886,4715,9430
Greatest Common Factor
We found the factors 653,9430 . The biggest common factor number is the GCF number.
So the greatest common factor 653,9430 is 1.
Lets's calculate LCM of 406,245
| 7 | 406, 245 |
| 58, 35 |
∴ So the LCM of the given numbers is 7 x 58 x 35 = 14210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14210
Therefore, the GCF of Fractions 653/406,9430/245 is 1/14210
Least Common Multiple of 406,245 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 406,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,245) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(406,245) x common factors =7 x 1 = 7
LCM(406,245) = ( 406 × 245 ) / 7
LCM(406,245) = 99470 / 7
LCM(406,245) = 14210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 653/406, 9430/245
1. What is the HCF of 653,9430?
The HCF of 653,9430 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 653/406, 9430/245?
Answer: GCF of Numerators as per given numbers 653/406, 9430/245 is
GCF of Numerators i.e. for 653,9430 is 1
LCM of denominators i.e. for 406,245 is 14210.
Thus, GCF of Fractions is 1/14210.Finally, GCF of Fractions for 653/406, 9430/245 is 1/14210.