GCF of 6418/654, 9305/3348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6418/654, 9305/3348 i.e 1/364932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6418/654, 9305/3348.
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 6418/654,9305/3348?
Given fractions are 6418/654,9305/3348
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 6418/654,9305/3348, numerators are 6418,9305
Denominators are 654,3348
The GCF of 6418,9305 is 1 .
LCM of 654,3348 is 364932.
The greatest common factor of 6418/654,9305/3348 = [GCF of 6418,9305]/[LCM of 654,3348]= 1/364932
Therefore, the GCF of 6418/654,9305/3348 is 1/364932.
To find the highest common factor of 6418,9305, we have to find the factors of both numbers and list the highest common factor.
The factors of 6418 are 1, 2, 3209, 6418
The factors of 9305 are 1, 5, 1861, 9305
The HCF of 6418,9305 is 1.
Lets's calculate GCF of 6418,9305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6418,9305 By Matching Biggest Common Factor Method
Now, list down the factors of 6418
:1,2,3209,6418
Now, list down the factors of 9305
:1,5,1861,9305
Greatest Common Factor
We found the factors 6418,9305 . The biggest common factor number is the GCF number.
So the greatest common factor 6418,9305 is 1.
Lets's calculate LCM of 654,3348
| 2 | 654, 3348 |
| 3 | 327, 1674 |
| 109, 558 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 558 = 364932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364932
Therefore, the GCF of Fractions 6418/654,9305/3348 is 1/364932
Least Common Multiple of 654,3348 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 654,3348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3348) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3348) x common factors =6 x 1 = 6
LCM(654,3348) = ( 654 × 3348 ) / 6
LCM(654,3348) = 2189592 / 6
LCM(654,3348) = 364932
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FAQs on GCF of Fractions of 6418/654, 9305/3348
1. What is the HCF of 6418,9305?
The HCF of 6418,9305 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 6418/654, 9305/3348?
Answer: GCF of Numerators as per given numbers 6418/654, 9305/3348 is
GCF of Numerators i.e. for 6418,9305 is 1
LCM of denominators i.e. for 654,3348 is 364932.
Thus, GCF of Fractions is 1/364932.Finally, GCF of Fractions for 6418/654, 9305/3348 is 1/364932.