GCF of 1341/107, 1704/1626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1341/107, 1704/1626 i.e 3/173982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1341/107, 1704/1626.
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 1341/107,1704/1626?
Given fractions are 1341/107,1704/1626
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 1341/107,1704/1626, numerators are 1341,1704
Denominators are 107,1626
The GCF of 1341,1704 is 3 .
LCM of 107,1626 is 173982.
The greatest common factor of 1341/107,1704/1626 = [GCF of 1341,1704]/[LCM of 107,1626]= 3/173982
Therefore, the GCF of 1341/107,1704/1626 is 3/173982.
To find the highest common factor of 1341,1704, we have to find the factors of both numbers and list the highest common factor.
The factors of 1341 are 1, 3, 9, 149, 447, 1341
The factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704
The HCF of 1341,1704 is 3.
Lets's calculate GCF of 1341,1704
| 3 | 1341, 1704 |
| 447, 568 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1341,1704 By Matching Biggest Common Factor Method
Now, list down the factors of 1341
:1,3,9,149,447,1341
Now, list down the factors of 1704
:1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Greatest Common Factor
We found the factors 1341,1704 . The biggest common factor number is the GCF number.
So the greatest common factor 1341,1704 is 3.
Lets's calculate LCM of 107,1626
Given numbers has no common factors except 1. So, there LCM is their product i.e 173982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/173982
Therefore, the GCF of Fractions 1341/107,1704/1626 is 3/173982
Least Common Multiple of 107,1626 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 107,1626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,1626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,1626) x common factors =1 x 1 = 1
LCM(107,1626) = ( 107 × 1626 ) / 1
LCM(107,1626) = 173982 / 1
LCM(107,1626) = 173982
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FAQs on GCF of Fractions of 1341/107, 1704/1626
1. What is the HCF of 1341,1704?
The HCF of 1341,1704 is 3
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 1341/107, 1704/1626?
Answer: GCF of Numerators as per given numbers 1341/107, 1704/1626 is
GCF of Numerators i.e. for 1341,1704 is 3
LCM of denominators i.e. for 107,1626 is 173982.
Thus, GCF of Fractions is 3/173982.Finally, GCF of Fractions for 1341/107, 1704/1626 is 3/173982.