GCF of 9495/638, 6744/8466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9495/638, 6744/8466 i.e 3/2700654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9495/638, 6744/8466.
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 9495/638,6744/8466?
Given fractions are 9495/638,6744/8466
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 9495/638,6744/8466, numerators are 9495,6744
Denominators are 638,8466
The GCF of 9495,6744 is 3 .
LCM of 638,8466 is 2700654.
The greatest common factor of 9495/638,6744/8466 = [GCF of 9495,6744]/[LCM of 638,8466]= 3/2700654
Therefore, the GCF of 9495/638,6744/8466 is 3/2700654.
To find the highest common factor of 9495,6744, we have to find the factors of both numbers and list the highest common factor.
The factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495
The factors of 6744 are 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744
The HCF of 9495,6744 is 3.
Lets's calculate GCF of 9495,6744
| 3 | 9495, 6744 |
| 3165, 2248 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9495,6744 By Matching Biggest Common Factor Method
Now, list down the factors of 9495
:1,3,5,9,15,45,211,633,1055,1899,3165,9495
Now, list down the factors of 6744
:1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744
Greatest Common Factor
We found the factors 9495,6744 . The biggest common factor number is the GCF number.
So the greatest common factor 9495,6744 is 3.
Lets's calculate LCM of 638,8466
| 2 | 638, 8466 |
| 319, 4233 |
∴ So the LCM of the given numbers is 2 x 319 x 4233 = 2700654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2700654
Therefore, the GCF of Fractions 9495/638,6744/8466 is 3/2700654
Least Common Multiple of 638,8466 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 638,8466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,8466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,8466) x common factors =2 x 1 = 2
LCM(638,8466) = ( 638 × 8466 ) / 2
LCM(638,8466) = 5401308 / 2
LCM(638,8466) = 2700654
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FAQs on GCF of Fractions of 9495/638, 6744/8466
1. What is the HCF of 9495,6744?
The HCF of 9495,6744 is 3
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 9495/638, 6744/8466?
Answer: GCF of Numerators as per given numbers 9495/638, 6744/8466 is
GCF of Numerators i.e. for 9495,6744 is 3
LCM of denominators i.e. for 638,8466 is 2700654.
Thus, GCF of Fractions is 3/2700654.Finally, GCF of Fractions for 9495/638, 6744/8466 is 3/2700654.