GCF of 1893/409, 2412/3122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1893/409, 2412/3122 i.e 3/1276898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1893/409, 2412/3122.
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 1893/409,2412/3122?
Given fractions are 1893/409,2412/3122
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 1893/409,2412/3122, numerators are 1893,2412
Denominators are 409,3122
The GCF of 1893,2412 is 3 .
LCM of 409,3122 is 1276898.
The greatest common factor of 1893/409,2412/3122 = [GCF of 1893,2412]/[LCM of 409,3122]= 3/1276898
Therefore, the GCF of 1893/409,2412/3122 is 3/1276898.
To find the highest common factor of 1893,2412, we have to find the factors of both numbers and list the highest common factor.
The factors of 1893 are 1, 3, 631, 1893
The factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412
The HCF of 1893,2412 is 3.
Lets's calculate GCF of 1893,2412
| 3 | 1893, 2412 |
| 631, 804 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1893,2412 By Matching Biggest Common Factor Method
Now, list down the factors of 1893
:1,3,631,1893
Now, list down the factors of 2412
:1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Greatest Common Factor
We found the factors 1893,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 1893,2412 is 3.
Lets's calculate LCM of 409,3122
Given numbers has no common factors except 1. So, there LCM is their product i.e 1276898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1276898
Therefore, the GCF of Fractions 1893/409,2412/3122 is 3/1276898
Least Common Multiple of 409,3122 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 409,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,3122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,3122) x common factors =1 x 1 = 1
LCM(409,3122) = ( 409 × 3122 ) / 1
LCM(409,3122) = 1276898 / 1
LCM(409,3122) = 1276898
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FAQs on GCF of Fractions of 1893/409, 2412/3122
1. What is the HCF of 1893,2412?
The HCF of 1893,2412 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 1893/409, 2412/3122?
Answer: GCF of Numerators as per given numbers 1893/409, 2412/3122 is
GCF of Numerators i.e. for 1893,2412 is 3
LCM of denominators i.e. for 409,3122 is 1276898.
Thus, GCF of Fractions is 3/1276898.Finally, GCF of Fractions for 1893/409, 2412/3122 is 3/1276898.