GCF of 412/55, 648/5712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 412/55, 648/5712 i.e 4/314160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/55, 648/5712.
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 412/55,648/5712?
Given fractions are 412/55,648/5712
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 412/55,648/5712, numerators are 412,648
Denominators are 55,5712
The GCF of 412,648 is 4 .
LCM of 55,5712 is 314160.
The greatest common factor of 412/55,648/5712 = [GCF of 412,648]/[LCM of 55,5712]= 4/314160
Therefore, the GCF of 412/55,648/5712 is 4/314160.
To find the highest common factor of 412,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 412 are 1, 2, 4, 103, 206, 412
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 412,648 is 4.
Lets's calculate GCF of 412,648
| 2 | 412, 648 |
| 2 | 206, 324 |
| 103, 162 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 412,648 By Matching Biggest Common Factor Method
Now, list down the factors of 412
:1,2,4,103,206,412
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 412,648 . The biggest common factor number is the GCF number.
So the greatest common factor 412,648 is 4.
Lets's calculate LCM of 55,5712
Given numbers has no common factors except 1. So, there LCM is their product i.e 314160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/314160
Therefore, the GCF of Fractions 412/55,648/5712 is 4/314160
Least Common Multiple of 55,5712 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 55,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,5712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,5712) x common factors =1 x 1 = 1
LCM(55,5712) = ( 55 × 5712 ) / 1
LCM(55,5712) = 314160 / 1
LCM(55,5712) = 314160
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FAQs on GCF of Fractions of 412/55, 648/5712
1. What is the HCF of 412,648?
The HCF of 412,648 is 4
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 412/55, 648/5712?
Answer: GCF of Numerators as per given numbers 412/55, 648/5712 is
GCF of Numerators i.e. for 412,648 is 4
LCM of denominators i.e. for 55,5712 is 314160.
Thus, GCF of Fractions is 4/314160.Finally, GCF of Fractions for 412/55, 648/5712 is 4/314160.