GCF of 1341/33, 2070/983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1341/33, 2070/983 i.e 9/32439 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1341/33, 2070/983.
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 1341/33,2070/983?
Given fractions are 1341/33,2070/983
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 1341/33,2070/983, numerators are 1341,2070
Denominators are 33,983
The GCF of 1341,2070 is 9 .
LCM of 33,983 is 32439.
The greatest common factor of 1341/33,2070/983 = [GCF of 1341,2070]/[LCM of 33,983]= 9/32439
Therefore, the GCF of 1341/33,2070/983 is 9/32439.
To find the highest common factor of 1341,2070, 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 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 1341,2070 is 9.
Lets's calculate GCF of 1341,2070
| 3 | 1341, 2070 |
| 3 | 447, 690 |
| 149, 230 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1341,2070 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 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 1341,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 1341,2070 is 9.
Lets's calculate LCM of 33,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 32439
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/32439
Therefore, the GCF of Fractions 1341/33,2070/983 is 9/32439
Least Common Multiple of 33,983 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 33,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,983) x common factors =1 x 1 = 1
LCM(33,983) = ( 33 × 983 ) / 1
LCM(33,983) = 32439 / 1
LCM(33,983) = 32439
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FAQs on GCF of Fractions of 1341/33, 2070/983
1. What is the HCF of 1341,2070?
The HCF of 1341,2070 is 9
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 1341/33, 2070/983?
Answer: GCF of Numerators as per given numbers 1341/33, 2070/983 is
GCF of Numerators i.e. for 1341,2070 is 9
LCM of denominators i.e. for 33,983 is 32439.
Thus, GCF of Fractions is 9/32439.Finally, GCF of Fractions for 1341/33, 2070/983 is 9/32439.