GCF of 4142/183, 6444/9686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4142/183, 6444/9686 i.e 2/1772538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4142/183, 6444/9686.
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 4142/183,6444/9686?
Given fractions are 4142/183,6444/9686
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 4142/183,6444/9686, numerators are 4142,6444
Denominators are 183,9686
The GCF of 4142,6444 is 2 .
LCM of 183,9686 is 1772538.
The greatest common factor of 4142/183,6444/9686 = [GCF of 4142,6444]/[LCM of 183,9686]= 2/1772538
Therefore, the GCF of 4142/183,6444/9686 is 2/1772538.
To find the highest common factor of 4142,6444, we have to find the factors of both numbers and list the highest common factor.
The factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142
The factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444
The HCF of 4142,6444 is 2.
Lets's calculate GCF of 4142,6444
| 2 | 4142, 6444 |
| 2071, 3222 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4142,6444 By Matching Biggest Common Factor Method
Now, list down the factors of 4142
:1,2,19,38,109,218,2071,4142
Now, list down the factors of 6444
:1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Greatest Common Factor
We found the factors 4142,6444 . The biggest common factor number is the GCF number.
So the greatest common factor 4142,6444 is 2.
Lets's calculate LCM of 183,9686
Given numbers has no common factors except 1. So, there LCM is their product i.e 1772538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1772538
Therefore, the GCF of Fractions 4142/183,6444/9686 is 2/1772538
Least Common Multiple of 183,9686 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 183,9686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,9686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,9686) x common factors =1 x 1 = 1
LCM(183,9686) = ( 183 × 9686 ) / 1
LCM(183,9686) = 1772538 / 1
LCM(183,9686) = 1772538
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FAQs on GCF of Fractions of 4142/183, 6444/9686
1. What is the HCF of 4142,6444?
The HCF of 4142,6444 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 4142/183, 6444/9686?
Answer: GCF of Numerators as per given numbers 4142/183, 6444/9686 is
GCF of Numerators i.e. for 4142,6444 is 2
LCM of denominators i.e. for 183,9686 is 1772538.
Thus, GCF of Fractions is 2/1772538.Finally, GCF of Fractions for 4142/183, 6444/9686 is 2/1772538.