GCF of 3390/452, 1841/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3390/452, 1841/189 i.e 1/85428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3390/452, 1841/189.
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 3390/452,1841/189?
Given fractions are 3390/452,1841/189
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 3390/452,1841/189, numerators are 3390,1841
Denominators are 452,189
The GCF of 3390,1841 is 1 .
LCM of 452,189 is 85428.
The greatest common factor of 3390/452,1841/189 = [GCF of 3390,1841]/[LCM of 452,189]= 1/85428
Therefore, the GCF of 3390/452,1841/189 is 1/85428.
To find the highest common factor of 3390,1841, we have to find the factors of both numbers and list the highest common factor.
The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The factors of 1841 are 1, 7, 263, 1841
The HCF of 3390,1841 is 1.
Lets's calculate GCF of 3390,1841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3390,1841 By Matching Biggest Common Factor Method
Now, list down the factors of 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Now, list down the factors of 1841
:1,7,263,1841
Greatest Common Factor
We found the factors 3390,1841 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,1841 is 1.
Lets's calculate LCM of 452,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 85428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85428
Therefore, the GCF of Fractions 3390/452,1841/189 is 1/85428
Least Common Multiple of 452,189 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 452,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,189) x common factors =1 x 1 = 1
LCM(452,189) = ( 452 × 189 ) / 1
LCM(452,189) = 85428 / 1
LCM(452,189) = 85428
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FAQs on GCF of Fractions of 3390/452, 1841/189
1. What is the HCF of 3390,1841?
The HCF of 3390,1841 is 1
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 3390/452, 1841/189?
Answer: GCF of Numerators as per given numbers 3390/452, 1841/189 is
GCF of Numerators i.e. for 3390,1841 is 1
LCM of denominators i.e. for 452,189 is 85428.
Thus, GCF of Fractions is 1/85428.Finally, GCF of Fractions for 3390/452, 1841/189 is 1/85428.