GCF of 7709/485, 4209/4505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7709/485, 4209/4505 i.e 1/436985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7709/485, 4209/4505.
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 7709/485,4209/4505?
Given fractions are 7709/485,4209/4505
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 7709/485,4209/4505, numerators are 7709,4209
Denominators are 485,4505
The GCF of 7709,4209 is 1 .
LCM of 485,4505 is 436985.
The greatest common factor of 7709/485,4209/4505 = [GCF of 7709,4209]/[LCM of 485,4505]= 1/436985
Therefore, the GCF of 7709/485,4209/4505 is 1/436985.
To find the highest common factor of 7709,4209, we have to find the factors of both numbers and list the highest common factor.
The factors of 7709 are 1, 13, 593, 7709
The factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209
The HCF of 7709,4209 is 1.
Lets's calculate GCF of 7709,4209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7709,4209 By Matching Biggest Common Factor Method
Now, list down the factors of 7709
:1,13,593,7709
Now, list down the factors of 4209
:1,3,23,61,69,183,1403,4209
Greatest Common Factor
We found the factors 7709,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 7709,4209 is 1.
Lets's calculate LCM of 485,4505
| 5 | 485, 4505 |
| 97, 901 |
∴ So the LCM of the given numbers is 5 x 97 x 901 = 436985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436985
Therefore, the GCF of Fractions 7709/485,4209/4505 is 1/436985
Least Common Multiple of 485,4505 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 485,4505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,4505) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,4505) x common factors =5 x 1 = 5
LCM(485,4505) = ( 485 × 4505 ) / 5
LCM(485,4505) = 2184925 / 5
LCM(485,4505) = 436985
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FAQs on GCF of Fractions of 7709/485, 4209/4505
1. What is the HCF of 7709,4209?
The HCF of 7709,4209 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 7709/485, 4209/4505?
Answer: GCF of Numerators as per given numbers 7709/485, 4209/4505 is
GCF of Numerators i.e. for 7709,4209 is 1
LCM of denominators i.e. for 485,4505 is 436985.
Thus, GCF of Fractions is 1/436985.Finally, GCF of Fractions for 7709/485, 4209/4505 is 1/436985.