GCF of 798/580, 2106/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 798/580, 2106/596 i.e 6/86420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 798/580, 2106/596.
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 798/580,2106/596?
Given fractions are 798/580,2106/596
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 798/580,2106/596, numerators are 798,2106
Denominators are 580,596
The GCF of 798,2106 is 6 .
LCM of 580,596 is 86420.
The greatest common factor of 798/580,2106/596 = [GCF of 798,2106]/[LCM of 580,596]= 6/86420
Therefore, the GCF of 798/580,2106/596 is 6/86420.
To find the highest common factor of 798,2106, we have to find the factors of both numbers and list the highest common factor.
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106
The HCF of 798,2106 is 6.
Lets's calculate GCF of 798,2106
| 2 | 798, 2106 |
| 3 | 399, 1053 |
| 133, 351 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 798,2106 By Matching Biggest Common Factor Method
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Now, list down the factors of 2106
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106
Greatest Common Factor
We found the factors 798,2106 . The biggest common factor number is the GCF number.
So the greatest common factor 798,2106 is 6.
Lets's calculate LCM of 580,596
| 2 | 580, 596 |
| 2 | 290, 298 |
| 145, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 149 = 86420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/86420
Therefore, the GCF of Fractions 798/580,2106/596 is 6/86420
Least Common Multiple of 580,596 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 580,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,596) x common factors =4 x 1 = 4
LCM(580,596) = ( 580 × 596 ) / 4
LCM(580,596) = 345680 / 4
LCM(580,596) = 86420
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FAQs on GCF of Fractions of 798/580, 2106/596
1. What is the HCF of 798,2106?
The HCF of 798,2106 is 6
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 798/580, 2106/596?
Answer: GCF of Numerators as per given numbers 798/580, 2106/596 is
GCF of Numerators i.e. for 798,2106 is 6
LCM of denominators i.e. for 580,596 is 86420.
Thus, GCF of Fractions is 6/86420.Finally, GCF of Fractions for 798/580, 2106/596 is 6/86420.