GCF of 2940/168, 7704/5999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2940/168, 7704/5999 i.e 12/143976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2940/168, 7704/5999.
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 2940/168,7704/5999?
Given fractions are 2940/168,7704/5999
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 2940/168,7704/5999, numerators are 2940,7704
Denominators are 168,5999
The GCF of 2940,7704 is 12 .
LCM of 168,5999 is 143976.
The greatest common factor of 2940/168,7704/5999 = [GCF of 2940,7704]/[LCM of 168,5999]= 12/143976
Therefore, the GCF of 2940/168,7704/5999 is 12/143976.
To find the highest common factor of 2940,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 2940,7704 is 12.
Lets's calculate GCF of 2940,7704
| 2 | 2940, 7704 |
| 2 | 1470, 3852 |
| 3 | 735, 1926 |
| 245, 642 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2940,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 2940
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 2940,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 2940,7704 is 12.
Lets's calculate LCM of 168,5999
| 7 | 168, 5999 |
| 24, 857 |
∴ So the LCM of the given numbers is 7 x 24 x 857 = 143976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/143976
Therefore, the GCF of Fractions 2940/168,7704/5999 is 12/143976
Least Common Multiple of 168,5999 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 168,5999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,5999) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(168,5999) x common factors =7 x 1 = 7
LCM(168,5999) = ( 168 × 5999 ) / 7
LCM(168,5999) = 1007832 / 7
LCM(168,5999) = 143976
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2940/168, 7704/5999
1. What is the HCF of 2940,7704?
The HCF of 2940,7704 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 2940/168, 7704/5999?
Answer: GCF of Numerators as per given numbers 2940/168, 7704/5999 is
GCF of Numerators i.e. for 2940,7704 is 12
LCM of denominators i.e. for 168,5999 is 143976.
Thus, GCF of Fractions is 12/143976.Finally, GCF of Fractions for 2940/168, 7704/5999 is 12/143976.