GCF of 3546/691, 2158/829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3546/691, 2158/829 i.e 2/572839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3546/691, 2158/829.
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 3546/691,2158/829?
Given fractions are 3546/691,2158/829
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 3546/691,2158/829, numerators are 3546,2158
Denominators are 691,829
The GCF of 3546,2158 is 2 .
LCM of 691,829 is 572839.
The greatest common factor of 3546/691,2158/829 = [GCF of 3546,2158]/[LCM of 691,829]= 2/572839
Therefore, the GCF of 3546/691,2158/829 is 2/572839.
To find the highest common factor of 3546,2158, we have to find the factors of both numbers and list the highest common factor.
The factors of 3546 are 1, 2, 3, 6, 9, 18, 197, 394, 591, 1182, 1773, 3546
The factors of 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The HCF of 3546,2158 is 2.
Lets's calculate GCF of 3546,2158
| 2 | 3546, 2158 |
| 1773, 1079 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3546,2158 By Matching Biggest Common Factor Method
Now, list down the factors of 3546
:1,2,3,6,9,18,197,394,591,1182,1773,3546
Now, list down the factors of 2158
:1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 3546,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 3546,2158 is 2.
Lets's calculate LCM of 691,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 572839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/572839
Therefore, the GCF of Fractions 3546/691,2158/829 is 2/572839
Least Common Multiple of 691,829 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 691,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,829) x common factors =1 x 1 = 1
LCM(691,829) = ( 691 × 829 ) / 1
LCM(691,829) = 572839 / 1
LCM(691,829) = 572839
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FAQs on GCF of Fractions of 3546/691, 2158/829
1. What is the HCF of 3546,2158?
The HCF of 3546,2158 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 3546/691, 2158/829?
Answer: GCF of Numerators as per given numbers 3546/691, 2158/829 is
GCF of Numerators i.e. for 3546,2158 is 2
LCM of denominators i.e. for 691,829 is 572839.
Thus, GCF of Fractions is 2/572839.Finally, GCF of Fractions for 3546/691, 2158/829 is 2/572839.