GCF of 2012/435, 5754/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2012/435, 5754/259 i.e 2/112665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2012/435, 5754/259.
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 2012/435,5754/259?
Given fractions are 2012/435,5754/259
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 2012/435,5754/259, numerators are 2012,5754
Denominators are 435,259
The GCF of 2012,5754 is 2 .
LCM of 435,259 is 112665.
The greatest common factor of 2012/435,5754/259 = [GCF of 2012,5754]/[LCM of 435,259]= 2/112665
Therefore, the GCF of 2012/435,5754/259 is 2/112665.
To find the highest common factor of 2012,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 2012 are 1, 2, 4, 503, 1006, 2012
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 2012,5754 is 2.
Lets's calculate GCF of 2012,5754
| 2 | 2012, 5754 |
| 1006, 2877 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2012,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 2012
:1,2,4,503,1006,2012
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 2012,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 2012,5754 is 2.
Lets's calculate LCM of 435,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 112665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112665
Therefore, the GCF of Fractions 2012/435,5754/259 is 2/112665
Least Common Multiple of 435,259 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 435,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,259) x common factors =1 x 1 = 1
LCM(435,259) = ( 435 × 259 ) / 1
LCM(435,259) = 112665 / 1
LCM(435,259) = 112665
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FAQs on GCF of Fractions of 2012/435, 5754/259
1. What is the HCF of 2012,5754?
The HCF of 2012,5754 is 2
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 2012/435, 5754/259?
Answer: GCF of Numerators as per given numbers 2012/435, 5754/259 is
GCF of Numerators i.e. for 2012,5754 is 2
LCM of denominators i.e. for 435,259 is 112665.
Thus, GCF of Fractions is 2/112665.Finally, GCF of Fractions for 2012/435, 5754/259 is 2/112665.