GCF of 4143/760, 9972/2253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4143/760, 9972/2253 i.e 3/1712280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4143/760, 9972/2253.
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 4143/760,9972/2253?
Given fractions are 4143/760,9972/2253
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 4143/760,9972/2253, numerators are 4143,9972
Denominators are 760,2253
The GCF of 4143,9972 is 3 .
LCM of 760,2253 is 1712280.
The greatest common factor of 4143/760,9972/2253 = [GCF of 4143,9972]/[LCM of 760,2253]= 3/1712280
Therefore, the GCF of 4143/760,9972/2253 is 3/1712280.
To find the highest common factor of 4143,9972, we have to find the factors of both numbers and list the highest common factor.
The factors of 4143 are 1, 3, 1381, 4143
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972
The HCF of 4143,9972 is 3.
Lets's calculate GCF of 4143,9972
| 3 | 4143, 9972 |
| 1381, 3324 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4143,9972 By Matching Biggest Common Factor Method
Now, list down the factors of 4143
:1,3,1381,4143
Now, list down the factors of 9972
:1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 4143,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 4143,9972 is 3.
Lets's calculate LCM of 760,2253
Given numbers has no common factors except 1. So, there LCM is their product i.e 1712280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1712280
Therefore, the GCF of Fractions 4143/760,9972/2253 is 3/1712280
Least Common Multiple of 760,2253 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 760,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,2253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,2253) x common factors =1 x 1 = 1
LCM(760,2253) = ( 760 × 2253 ) / 1
LCM(760,2253) = 1712280 / 1
LCM(760,2253) = 1712280
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FAQs on GCF of Fractions of 4143/760, 9972/2253
1. What is the HCF of 4143,9972?
The HCF of 4143,9972 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 4143/760, 9972/2253?
Answer: GCF of Numerators as per given numbers 4143/760, 9972/2253 is
GCF of Numerators i.e. for 4143,9972 is 3
LCM of denominators i.e. for 760,2253 is 1712280.
Thus, GCF of Fractions is 3/1712280.Finally, GCF of Fractions for 4143/760, 9972/2253 is 3/1712280.