GCF of 6112/457, 8122/2144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6112/457, 8122/2144 i.e 2/979808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6112/457, 8122/2144.
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 6112/457,8122/2144?
Given fractions are 6112/457,8122/2144
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 6112/457,8122/2144, numerators are 6112,8122
Denominators are 457,2144
The GCF of 6112,8122 is 2 .
LCM of 457,2144 is 979808.
The greatest common factor of 6112/457,8122/2144 = [GCF of 6112,8122]/[LCM of 457,2144]= 2/979808
Therefore, the GCF of 6112/457,8122/2144 is 2/979808.
To find the highest common factor of 6112,8122, we have to find the factors of both numbers and list the highest common factor.
The factors of 6112 are 1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112
The factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122
The HCF of 6112,8122 is 2.
Lets's calculate GCF of 6112,8122
| 2 | 6112, 8122 |
| 3056, 4061 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6112,8122 By Matching Biggest Common Factor Method
Now, list down the factors of 6112
:1,2,4,8,16,32,191,382,764,1528,3056,6112
Now, list down the factors of 8122
:1,2,31,62,131,262,4061,8122
Greatest Common Factor
We found the factors 6112,8122 . The biggest common factor number is the GCF number.
So the greatest common factor 6112,8122 is 2.
Lets's calculate LCM of 457,2144
Given numbers has no common factors except 1. So, there LCM is their product i.e 979808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/979808
Therefore, the GCF of Fractions 6112/457,8122/2144 is 2/979808
Least Common Multiple of 457,2144 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 457,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,2144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,2144) x common factors =1 x 1 = 1
LCM(457,2144) = ( 457 × 2144 ) / 1
LCM(457,2144) = 979808 / 1
LCM(457,2144) = 979808
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FAQs on GCF of Fractions of 6112/457, 8122/2144
1. What is the HCF of 6112,8122?
The HCF of 6112,8122 is 2
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 6112/457, 8122/2144?
Answer: GCF of Numerators as per given numbers 6112/457, 8122/2144 is
GCF of Numerators i.e. for 6112,8122 is 2
LCM of denominators i.e. for 457,2144 is 979808.
Thus, GCF of Fractions is 2/979808.Finally, GCF of Fractions for 6112/457, 8122/2144 is 2/979808.