GCF of 6492/145, 3054/4658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6492/145, 3054/4658 i.e 6/675410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6492/145, 3054/4658.
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 6492/145,3054/4658?
Given fractions are 6492/145,3054/4658
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 6492/145,3054/4658, numerators are 6492,3054
Denominators are 145,4658
The GCF of 6492,3054 is 6 .
LCM of 145,4658 is 675410.
The greatest common factor of 6492/145,3054/4658 = [GCF of 6492,3054]/[LCM of 145,4658]= 6/675410
Therefore, the GCF of 6492/145,3054/4658 is 6/675410.
To find the highest common factor of 6492,3054, we have to find the factors of both numbers and list the highest common factor.
The factors of 6492 are 1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492
The factors of 3054 are 1, 2, 3, 6, 509, 1018, 1527, 3054
The HCF of 6492,3054 is 6.
Lets's calculate GCF of 6492,3054
| 2 | 6492, 3054 |
| 3 | 3246, 1527 |
| 1082, 509 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6492,3054 By Matching Biggest Common Factor Method
Now, list down the factors of 6492
:1,2,3,4,6,12,541,1082,1623,2164,3246,6492
Now, list down the factors of 3054
:1,2,3,6,509,1018,1527,3054
Greatest Common Factor
We found the factors 6492,3054 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,3054 is 6.
Lets's calculate LCM of 145,4658
Given numbers has no common factors except 1. So, there LCM is their product i.e 675410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/675410
Therefore, the GCF of Fractions 6492/145,3054/4658 is 6/675410
Least Common Multiple of 145,4658 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 145,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,4658) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,4658) x common factors =1 x 1 = 1
LCM(145,4658) = ( 145 × 4658 ) / 1
LCM(145,4658) = 675410 / 1
LCM(145,4658) = 675410
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FAQs on GCF of Fractions of 6492/145, 3054/4658
1. What is the HCF of 6492,3054?
The HCF of 6492,3054 is 6
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 6492/145, 3054/4658?
Answer: GCF of Numerators as per given numbers 6492/145, 3054/4658 is
GCF of Numerators i.e. for 6492,3054 is 6
LCM of denominators i.e. for 145,4658 is 675410.
Thus, GCF of Fractions is 6/675410.Finally, GCF of Fractions for 6492/145, 3054/4658 is 6/675410.