GCF of 1659/233, 5817/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1659/233, 5817/698 i.e 21/162634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1659/233, 5817/698.
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 1659/233,5817/698?
Given fractions are 1659/233,5817/698
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 1659/233,5817/698, numerators are 1659,5817
Denominators are 233,698
The GCF of 1659,5817 is 21 .
LCM of 233,698 is 162634.
The greatest common factor of 1659/233,5817/698 = [GCF of 1659,5817]/[LCM of 233,698]= 21/162634
Therefore, the GCF of 1659/233,5817/698 is 21/162634.
To find the highest common factor of 1659,5817, we have to find the factors of both numbers and list the highest common factor.
The factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659
The factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817
The HCF of 1659,5817 is 21.
Lets's calculate GCF of 1659,5817
| 3 | 1659, 5817 |
| 7 | 553, 1939 |
| 79, 277 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 1659,5817 By Matching Biggest Common Factor Method
Now, list down the factors of 1659
:1,3,7,21,79,237,553,1659
Now, list down the factors of 5817
:1,3,7,21,277,831,1939,5817
Greatest Common Factor
We found the factors 1659,5817 . The biggest common factor number is the GCF number.
So the greatest common factor 1659,5817 is 21.
Lets's calculate LCM of 233,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 162634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/162634
Therefore, the GCF of Fractions 1659/233,5817/698 is 21/162634
Least Common Multiple of 233,698 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 233,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,698) x common factors =1 x 1 = 1
LCM(233,698) = ( 233 × 698 ) / 1
LCM(233,698) = 162634 / 1
LCM(233,698) = 162634
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FAQs on GCF of Fractions of 1659/233, 5817/698
1. What is the HCF of 1659,5817?
The HCF of 1659,5817 is 21
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 1659/233, 5817/698?
Answer: GCF of Numerators as per given numbers 1659/233, 5817/698 is
GCF of Numerators i.e. for 1659,5817 is 21
LCM of denominators i.e. for 233,698 is 162634.
Thus, GCF of Fractions is 21/162634.Finally, GCF of Fractions for 1659/233, 5817/698 is 21/162634.