GCF of 4609/654, 5117/1364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4609/654, 5117/1364 i.e 1/446028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4609/654, 5117/1364.
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 4609/654,5117/1364?
Given fractions are 4609/654,5117/1364
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 4609/654,5117/1364, numerators are 4609,5117
Denominators are 654,1364
The GCF of 4609,5117 is 1 .
LCM of 654,1364 is 446028.
The greatest common factor of 4609/654,5117/1364 = [GCF of 4609,5117]/[LCM of 654,1364]= 1/446028
Therefore, the GCF of 4609/654,5117/1364 is 1/446028.
To find the highest common factor of 4609,5117, we have to find the factors of both numbers and list the highest common factor.
The factors of 4609 are 1, 11, 419, 4609
The factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117
The HCF of 4609,5117 is 1.
Lets's calculate GCF of 4609,5117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4609,5117 By Matching Biggest Common Factor Method
Now, list down the factors of 4609
:1,11,419,4609
Now, list down the factors of 5117
:1,7,17,43,119,301,731,5117
Greatest Common Factor
We found the factors 4609,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 4609,5117 is 1.
Lets's calculate LCM of 654,1364
| 2 | 654, 1364 |
| 327, 682 |
∴ So the LCM of the given numbers is 2 x 327 x 682 = 446028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446028
Therefore, the GCF of Fractions 4609/654,5117/1364 is 1/446028
Least Common Multiple of 654,1364 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 654,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,1364) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,1364) x common factors =2 x 1 = 2
LCM(654,1364) = ( 654 × 1364 ) / 2
LCM(654,1364) = 892056 / 2
LCM(654,1364) = 446028
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FAQs on GCF of Fractions of 4609/654, 5117/1364
1. What is the HCF of 4609,5117?
The HCF of 4609,5117 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 4609/654, 5117/1364?
Answer: GCF of Numerators as per given numbers 4609/654, 5117/1364 is
GCF of Numerators i.e. for 4609,5117 is 1
LCM of denominators i.e. for 654,1364 is 446028.
Thus, GCF of Fractions is 1/446028.Finally, GCF of Fractions for 4609/654, 5117/1364 is 1/446028.