GCF of 2039/670, 8312/1538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2039/670, 8312/1538 i.e 1/515230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2039/670, 8312/1538.
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 2039/670,8312/1538?
Given fractions are 2039/670,8312/1538
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 2039/670,8312/1538, numerators are 2039,8312
Denominators are 670,1538
The GCF of 2039,8312 is 1 .
LCM of 670,1538 is 515230.
The greatest common factor of 2039/670,8312/1538 = [GCF of 2039,8312]/[LCM of 670,1538]= 1/515230
Therefore, the GCF of 2039/670,8312/1538 is 1/515230.
To find the highest common factor of 2039,8312, we have to find the factors of both numbers and list the highest common factor.
The factors of 2039 are 1, 2039
The factors of 8312 are 1, 2, 4, 8, 1039, 2078, 4156, 8312
The HCF of 2039,8312 is 1.
Lets's calculate GCF of 2039,8312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2039,8312 By Matching Biggest Common Factor Method
Now, list down the factors of 2039
:1,2039
Now, list down the factors of 8312
:1,2,4,8,1039,2078,4156,8312
Greatest Common Factor
We found the factors 2039,8312 . The biggest common factor number is the GCF number.
So the greatest common factor 2039,8312 is 1.
Lets's calculate LCM of 670,1538
| 2 | 670, 1538 |
| 335, 769 |
∴ So the LCM of the given numbers is 2 x 335 x 769 = 515230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515230
Therefore, the GCF of Fractions 2039/670,8312/1538 is 1/515230
Least Common Multiple of 670,1538 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 670,1538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,1538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,1538) x common factors =2 x 1 = 2
LCM(670,1538) = ( 670 × 1538 ) / 2
LCM(670,1538) = 1030460 / 2
LCM(670,1538) = 515230
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FAQs on GCF of Fractions of 2039/670, 8312/1538
1. What is the HCF of 2039,8312?
The HCF of 2039,8312 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 2039/670, 8312/1538?
Answer: GCF of Numerators as per given numbers 2039/670, 8312/1538 is
GCF of Numerators i.e. for 2039,8312 is 1
LCM of denominators i.e. for 670,1538 is 515230.
Thus, GCF of Fractions is 1/515230.Finally, GCF of Fractions for 2039/670, 8312/1538 is 1/515230.