GCF of 1389/211, 2034/731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1389/211, 2034/731 i.e 3/154241 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1389/211, 2034/731.
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 1389/211,2034/731?
Given fractions are 1389/211,2034/731
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 1389/211,2034/731, numerators are 1389,2034
Denominators are 211,731
The GCF of 1389,2034 is 3 .
LCM of 211,731 is 154241.
The greatest common factor of 1389/211,2034/731 = [GCF of 1389,2034]/[LCM of 211,731]= 3/154241
Therefore, the GCF of 1389/211,2034/731 is 3/154241.
To find the highest common factor of 1389,2034, we have to find the factors of both numbers and list the highest common factor.
The factors of 1389 are 1, 3, 463, 1389
The factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034
The HCF of 1389,2034 is 3.
Lets's calculate GCF of 1389,2034
| 3 | 1389, 2034 |
| 463, 678 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1389,2034 By Matching Biggest Common Factor Method
Now, list down the factors of 1389
:1,3,463,1389
Now, list down the factors of 2034
:1,2,3,6,9,18,113,226,339,678,1017,2034
Greatest Common Factor
We found the factors 1389,2034 . The biggest common factor number is the GCF number.
So the greatest common factor 1389,2034 is 3.
Lets's calculate LCM of 211,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 154241
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/154241
Therefore, the GCF of Fractions 1389/211,2034/731 is 3/154241
Least Common Multiple of 211,731 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 211,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,731) x common factors =1 x 1 = 1
LCM(211,731) = ( 211 × 731 ) / 1
LCM(211,731) = 154241 / 1
LCM(211,731) = 154241
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FAQs on GCF of Fractions of 1389/211, 2034/731
1. What is the HCF of 1389,2034?
The HCF of 1389,2034 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 1389/211, 2034/731?
Answer: GCF of Numerators as per given numbers 1389/211, 2034/731 is
GCF of Numerators i.e. for 1389,2034 is 3
LCM of denominators i.e. for 211,731 is 154241.
Thus, GCF of Fractions is 3/154241.Finally, GCF of Fractions for 1389/211, 2034/731 is 3/154241.