GCF of 3082/943, 7176/2151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3082/943, 7176/2151 i.e 46/2028393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3082/943, 7176/2151.
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 3082/943,7176/2151?
Given fractions are 3082/943,7176/2151
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 3082/943,7176/2151, numerators are 3082,7176
Denominators are 943,2151
The GCF of 3082,7176 is 46 .
LCM of 943,2151 is 2028393.
The greatest common factor of 3082/943,7176/2151 = [GCF of 3082,7176]/[LCM of 943,2151]= 46/2028393
Therefore, the GCF of 3082/943,7176/2151 is 46/2028393.
To find the highest common factor of 3082,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 3082 are 1, 2, 23, 46, 67, 134, 1541, 3082
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 3082,7176 is 46.
Lets's calculate GCF of 3082,7176
| 2 | 3082, 7176 |
| 23 | 1541, 3588 |
| 67, 156 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 3082,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 3082
:1,2,23,46,67,134,1541,3082
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 3082,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 3082,7176 is 46.
Lets's calculate LCM of 943,2151
Given numbers has no common factors except 1. So, there LCM is their product i.e 2028393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2028393
Therefore, the GCF of Fractions 3082/943,7176/2151 is 46/2028393
Least Common Multiple of 943,2151 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 943,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,2151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,2151) x common factors =1 x 1 = 1
LCM(943,2151) = ( 943 × 2151 ) / 1
LCM(943,2151) = 2028393 / 1
LCM(943,2151) = 2028393
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FAQs on GCF of Fractions of 3082/943, 7176/2151
1. What is the HCF of 3082,7176?
The HCF of 3082,7176 is 46
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 3082/943, 7176/2151?
Answer: GCF of Numerators as per given numbers 3082/943, 7176/2151 is
GCF of Numerators i.e. for 3082,7176 is 46
LCM of denominators i.e. for 943,2151 is 2028393.
Thus, GCF of Fractions is 46/2028393.Finally, GCF of Fractions for 3082/943, 7176/2151 is 46/2028393.