GCF of 1798/606, 6916/2958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1798/606, 6916/2958 i.e 2/298758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1798/606, 6916/2958.
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 1798/606,6916/2958?
Given fractions are 1798/606,6916/2958
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 1798/606,6916/2958, numerators are 1798,6916
Denominators are 606,2958
The GCF of 1798,6916 is 2 .
LCM of 606,2958 is 298758.
The greatest common factor of 1798/606,6916/2958 = [GCF of 1798,6916]/[LCM of 606,2958]= 2/298758
Therefore, the GCF of 1798/606,6916/2958 is 2/298758.
To find the highest common factor of 1798,6916, we have to find the factors of both numbers and list the highest common factor.
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The factors of 6916 are 1, 2, 4, 7, 13, 14, 19, 26, 28, 38, 52, 76, 91, 133, 182, 247, 266, 364, 494, 532, 988, 1729, 3458, 6916
The HCF of 1798,6916 is 2.
Lets's calculate GCF of 1798,6916
| 2 | 1798, 6916 |
| 899, 3458 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1798,6916 By Matching Biggest Common Factor Method
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Now, list down the factors of 6916
:1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Greatest Common Factor
We found the factors 1798,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 1798,6916 is 2.
Lets's calculate LCM of 606,2958
| 2 | 606, 2958 |
| 3 | 303, 1479 |
| 101, 493 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 493 = 298758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/298758
Therefore, the GCF of Fractions 1798/606,6916/2958 is 2/298758
Least Common Multiple of 606,2958 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 606,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,2958) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,2958) x common factors =6 x 1 = 6
LCM(606,2958) = ( 606 × 2958 ) / 6
LCM(606,2958) = 1792548 / 6
LCM(606,2958) = 298758
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FAQs on GCF of Fractions of 1798/606, 6916/2958
1. What is the HCF of 1798,6916?
The HCF of 1798,6916 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 1798/606, 6916/2958?
Answer: GCF of Numerators as per given numbers 1798/606, 6916/2958 is
GCF of Numerators i.e. for 1798,6916 is 2
LCM of denominators i.e. for 606,2958 is 298758.
Thus, GCF of Fractions is 2/298758.Finally, GCF of Fractions for 1798/606, 6916/2958 is 2/298758.