GCF of 3348/512, 3180/283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3348/512, 3180/283 i.e 12/144896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3348/512, 3180/283.
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 3348/512,3180/283?
Given fractions are 3348/512,3180/283
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 3348/512,3180/283, numerators are 3348,3180
Denominators are 512,283
The GCF of 3348,3180 is 12 .
LCM of 512,283 is 144896.
The greatest common factor of 3348/512,3180/283 = [GCF of 3348,3180]/[LCM of 512,283]= 12/144896
Therefore, the GCF of 3348/512,3180/283 is 12/144896.
To find the highest common factor of 3348,3180, we have to find the factors of both numbers and list the highest common factor.
The factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348
The factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180
The HCF of 3348,3180 is 12.
Lets's calculate GCF of 3348,3180
| 2 | 3348, 3180 |
| 2 | 1674, 1590 |
| 3 | 837, 795 |
| 279, 265 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3348,3180 By Matching Biggest Common Factor Method
Now, list down the factors of 3348
:1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348
Now, list down the factors of 3180
:1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180
Greatest Common Factor
We found the factors 3348,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 3348,3180 is 12.
Lets's calculate LCM of 512,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 144896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/144896
Therefore, the GCF of Fractions 3348/512,3180/283 is 12/144896
Least Common Multiple of 512,283 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 512,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,283) x common factors =1 x 1 = 1
LCM(512,283) = ( 512 × 283 ) / 1
LCM(512,283) = 144896 / 1
LCM(512,283) = 144896
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FAQs on GCF of Fractions of 3348/512, 3180/283
1. What is the HCF of 3348,3180?
The HCF of 3348,3180 is 12
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 3348/512, 3180/283?
Answer: GCF of Numerators as per given numbers 3348/512, 3180/283 is
GCF of Numerators i.e. for 3348,3180 is 12
LCM of denominators i.e. for 512,283 is 144896.
Thus, GCF of Fractions is 12/144896.Finally, GCF of Fractions for 3348/512, 3180/283 is 12/144896.