GCF of 704/594, 1218/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 704/594, 1218/990 i.e 2/2970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/594, 1218/990.
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 704/594,1218/990?
Given fractions are 704/594,1218/990
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 704/594,1218/990, numerators are 704,1218
Denominators are 594,990
The GCF of 704,1218 is 2 .
LCM of 594,990 is 2970.
The greatest common factor of 704/594,1218/990 = [GCF of 704,1218]/[LCM of 594,990]= 2/2970
Therefore, the GCF of 704/594,1218/990 is 2/2970.
To find the highest common factor of 704,1218, we have to find the factors of both numbers and list the highest common factor.
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218
The HCF of 704,1218 is 2.
Lets's calculate GCF of 704,1218
| 2 | 704, 1218 |
| 352, 609 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 704,1218 By Matching Biggest Common Factor Method
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Now, list down the factors of 1218
:1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218
Greatest Common Factor
We found the factors 704,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 704,1218 is 2.
Lets's calculate LCM of 594,990
| 2 | 594, 990 |
| 3 | 297, 495 |
| 3 | 99, 165 |
| 11 | 33, 55 |
| 3, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 3 x 5 = 2970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2970
Therefore, the GCF of Fractions 704/594,1218/990 is 2/2970
Least Common Multiple of 594,990 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 594,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,990) = 198
common factors(in case of two or more numbers have common factors) = 1
GCF(594,990) x common factors =198 x 1 = 198
LCM(594,990) = ( 594 × 990 ) / 198
LCM(594,990) = 588060 / 198
LCM(594,990) = 2970
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FAQs on GCF of Fractions of 704/594, 1218/990
1. What is the HCF of 704,1218?
The HCF of 704,1218 is 2
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 704/594, 1218/990?
Answer: GCF of Numerators as per given numbers 704/594, 1218/990 is
GCF of Numerators i.e. for 704,1218 is 2
LCM of denominators i.e. for 594,990 is 2970.
Thus, GCF of Fractions is 2/2970.Finally, GCF of Fractions for 704/594, 1218/990 is 2/2970.