GCF of 3336/310, 6636/1914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3336/310, 6636/1914 i.e 12/296670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3336/310, 6636/1914.
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 3336/310,6636/1914?
Given fractions are 3336/310,6636/1914
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 3336/310,6636/1914, numerators are 3336,6636
Denominators are 310,1914
The GCF of 3336,6636 is 12 .
LCM of 310,1914 is 296670.
The greatest common factor of 3336/310,6636/1914 = [GCF of 3336,6636]/[LCM of 310,1914]= 12/296670
Therefore, the GCF of 3336/310,6636/1914 is 12/296670.
To find the highest common factor of 3336,6636, we have to find the factors of both numbers and list the highest common factor.
The factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
The factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, 6636
The HCF of 3336,6636 is 12.
Lets's calculate GCF of 3336,6636
| 2 | 3336, 6636 |
| 2 | 1668, 3318 |
| 3 | 834, 1659 |
| 278, 553 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3336,6636 By Matching Biggest Common Factor Method
Now, list down the factors of 3336
:1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Now, list down the factors of 6636
:1,2,3,4,6,7,12,14,21,28,42,79,84,158,237,316,474,553,948,1106,1659,2212,3318,6636
Greatest Common Factor
We found the factors 3336,6636 . The biggest common factor number is the GCF number.
So the greatest common factor 3336,6636 is 12.
Lets's calculate LCM of 310,1914
| 2 | 310, 1914 |
| 155, 957 |
∴ So the LCM of the given numbers is 2 x 155 x 957 = 296670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/296670
Therefore, the GCF of Fractions 3336/310,6636/1914 is 12/296670
Least Common Multiple of 310,1914 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 310,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1914) x common factors =2 x 1 = 2
LCM(310,1914) = ( 310 × 1914 ) / 2
LCM(310,1914) = 593340 / 2
LCM(310,1914) = 296670
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FAQs on GCF of Fractions of 3336/310, 6636/1914
1. What is the HCF of 3336,6636?
The HCF of 3336,6636 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 3336/310, 6636/1914?
Answer: GCF of Numerators as per given numbers 3336/310, 6636/1914 is
GCF of Numerators i.e. for 3336,6636 is 12
LCM of denominators i.e. for 310,1914 is 296670.
Thus, GCF of Fractions is 12/296670.Finally, GCF of Fractions for 3336/310, 6636/1914 is 12/296670.