GCF of 4064/189, 6176/1158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4064/189, 6176/1158 i.e 32/72954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4064/189, 6176/1158.
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 4064/189,6176/1158?
Given fractions are 4064/189,6176/1158
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 4064/189,6176/1158, numerators are 4064,6176
Denominators are 189,1158
The GCF of 4064,6176 is 32 .
LCM of 189,1158 is 72954.
The greatest common factor of 4064/189,6176/1158 = [GCF of 4064,6176]/[LCM of 189,1158]= 32/72954
Therefore, the GCF of 4064/189,6176/1158 is 32/72954.
To find the highest common factor of 4064,6176, we have to find the factors of both numbers and list the highest common factor.
The factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064
The factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176
The HCF of 4064,6176 is 32.
Lets's calculate GCF of 4064,6176
| 2 | 4064, 6176 |
| 2 | 2032, 3088 |
| 2 | 1016, 1544 |
| 2 | 508, 772 |
| 2 | 254, 386 |
| 127, 193 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 4064,6176 By Matching Biggest Common Factor Method
Now, list down the factors of 4064
:1,2,4,8,16,32,127,254,508,1016,2032,4064
Now, list down the factors of 6176
:1,2,4,8,16,32,193,386,772,1544,3088,6176
Greatest Common Factor
We found the factors 4064,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 4064,6176 is 32.
Lets's calculate LCM of 189,1158
| 3 | 189, 1158 |
| 63, 386 |
∴ So the LCM of the given numbers is 3 x 63 x 386 = 72954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/72954
Therefore, the GCF of Fractions 4064/189,6176/1158 is 32/72954
Least Common Multiple of 189,1158 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 189,1158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,1158) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,1158) x common factors =3 x 1 = 3
LCM(189,1158) = ( 189 × 1158 ) / 3
LCM(189,1158) = 218862 / 3
LCM(189,1158) = 72954
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FAQs on GCF of Fractions of 4064/189, 6176/1158
1. What is the HCF of 4064,6176?
The HCF of 4064,6176 is 32
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 4064/189, 6176/1158?
Answer: GCF of Numerators as per given numbers 4064/189, 6176/1158 is
GCF of Numerators i.e. for 4064,6176 is 32
LCM of denominators i.e. for 189,1158 is 72954.
Thus, GCF of Fractions is 32/72954.Finally, GCF of Fractions for 4064/189, 6176/1158 is 32/72954.