GCF of 8745/258, 6234/4000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8745/258, 6234/4000 i.e 3/516000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8745/258, 6234/4000.
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 8745/258,6234/4000?
Given fractions are 8745/258,6234/4000
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 8745/258,6234/4000, numerators are 8745,6234
Denominators are 258,4000
The GCF of 8745,6234 is 3 .
LCM of 258,4000 is 516000.
The greatest common factor of 8745/258,6234/4000 = [GCF of 8745,6234]/[LCM of 258,4000]= 3/516000
Therefore, the GCF of 8745/258,6234/4000 is 3/516000.
To find the highest common factor of 8745,6234, we have to find the factors of both numbers and list the highest common factor.
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The HCF of 8745,6234 is 3.
Lets's calculate GCF of 8745,6234
| 3 | 8745, 6234 |
| 2915, 2078 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8745,6234 By Matching Biggest Common Factor Method
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Greatest Common Factor
We found the factors 8745,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,6234 is 3.
Lets's calculate LCM of 258,4000
| 2 | 258, 4000 |
| 129, 2000 |
∴ So the LCM of the given numbers is 2 x 129 x 2000 = 516000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/516000
Therefore, the GCF of Fractions 8745/258,6234/4000 is 3/516000
Least Common Multiple of 258,4000 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 258,4000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,4000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,4000) x common factors =2 x 1 = 2
LCM(258,4000) = ( 258 × 4000 ) / 2
LCM(258,4000) = 1032000 / 2
LCM(258,4000) = 516000
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FAQs on GCF of Fractions of 8745/258, 6234/4000
1. What is the HCF of 8745,6234?
The HCF of 8745,6234 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 8745/258, 6234/4000?
Answer: GCF of Numerators as per given numbers 8745/258, 6234/4000 is
GCF of Numerators i.e. for 8745,6234 is 3
LCM of denominators i.e. for 258,4000 is 516000.
Thus, GCF of Fractions is 3/516000.Finally, GCF of Fractions for 8745/258, 6234/4000 is 3/516000.