GCF of 3648/873, 8168/7454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3648/873, 8168/7454 i.e 8/6507342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3648/873, 8168/7454.
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 3648/873,8168/7454?
Given fractions are 3648/873,8168/7454
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 3648/873,8168/7454, numerators are 3648,8168
Denominators are 873,7454
The GCF of 3648,8168 is 8 .
LCM of 873,7454 is 6507342.
The greatest common factor of 3648/873,8168/7454 = [GCF of 3648,8168]/[LCM of 873,7454]= 8/6507342
Therefore, the GCF of 3648/873,8168/7454 is 8/6507342.
To find the highest common factor of 3648,8168, we have to find the factors of both numbers and list the highest common factor.
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168
The HCF of 3648,8168 is 8.
Lets's calculate GCF of 3648,8168
| 2 | 3648, 8168 |
| 2 | 1824, 4084 |
| 2 | 912, 2042 |
| 456, 1021 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3648,8168 By Matching Biggest Common Factor Method
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Now, list down the factors of 8168
:1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors 3648,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,8168 is 8.
Lets's calculate LCM of 873,7454
Given numbers has no common factors except 1. So, there LCM is their product i.e 6507342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6507342
Therefore, the GCF of Fractions 3648/873,8168/7454 is 8/6507342
Least Common Multiple of 873,7454 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 873,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,7454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,7454) x common factors =1 x 1 = 1
LCM(873,7454) = ( 873 × 7454 ) / 1
LCM(873,7454) = 6507342 / 1
LCM(873,7454) = 6507342
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FAQs on GCF of Fractions of 3648/873, 8168/7454
1. What is the HCF of 3648,8168?
The HCF of 3648,8168 is 8
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 3648/873, 8168/7454?
Answer: GCF of Numerators as per given numbers 3648/873, 8168/7454 is
GCF of Numerators i.e. for 3648,8168 is 8
LCM of denominators i.e. for 873,7454 is 6507342.
Thus, GCF of Fractions is 8/6507342.Finally, GCF of Fractions for 3648/873, 8168/7454 is 8/6507342.