GCF of 1698/683, 3608/2962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1698/683, 3608/2962 i.e 2/2023046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1698/683, 3608/2962.
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 1698/683,3608/2962?
Given fractions are 1698/683,3608/2962
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 1698/683,3608/2962, numerators are 1698,3608
Denominators are 683,2962
The GCF of 1698,3608 is 2 .
LCM of 683,2962 is 2023046.
The greatest common factor of 1698/683,3608/2962 = [GCF of 1698,3608]/[LCM of 683,2962]= 2/2023046
Therefore, the GCF of 1698/683,3608/2962 is 2/2023046.
To find the highest common factor of 1698,3608, we have to find the factors of both numbers and list the highest common factor.
The factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698
The factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608
The HCF of 1698,3608 is 2.
Lets's calculate GCF of 1698,3608
| 2 | 1698, 3608 |
| 849, 1804 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1698,3608 By Matching Biggest Common Factor Method
Now, list down the factors of 1698
:1,2,3,6,283,566,849,1698
Now, list down the factors of 3608
:1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Greatest Common Factor
We found the factors 1698,3608 . The biggest common factor number is the GCF number.
So the greatest common factor 1698,3608 is 2.
Lets's calculate LCM of 683,2962
Given numbers has no common factors except 1. So, there LCM is their product i.e 2023046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2023046
Therefore, the GCF of Fractions 1698/683,3608/2962 is 2/2023046
Least Common Multiple of 683,2962 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 683,2962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,2962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,2962) x common factors =1 x 1 = 1
LCM(683,2962) = ( 683 × 2962 ) / 1
LCM(683,2962) = 2023046 / 1
LCM(683,2962) = 2023046
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FAQs on GCF of Fractions of 1698/683, 3608/2962
1. What is the HCF of 1698,3608?
The HCF of 1698,3608 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 1698/683, 3608/2962?
Answer: GCF of Numerators as per given numbers 1698/683, 3608/2962 is
GCF of Numerators i.e. for 1698,3608 is 2
LCM of denominators i.e. for 683,2962 is 2023046.
Thus, GCF of Fractions is 2/2023046.Finally, GCF of Fractions for 1698/683, 3608/2962 is 2/2023046.