GCF of 3723/537, 3942/5344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3723/537, 3942/5344 i.e 219/2869728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3723/537, 3942/5344.
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 3723/537,3942/5344?
Given fractions are 3723/537,3942/5344
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 3723/537,3942/5344, numerators are 3723,3942
Denominators are 537,5344
The GCF of 3723,3942 is 219 .
LCM of 537,5344 is 2869728.
The greatest common factor of 3723/537,3942/5344 = [GCF of 3723,3942]/[LCM of 537,5344]= 219/2869728
Therefore, the GCF of 3723/537,3942/5344 is 219/2869728.
To find the highest common factor of 3723,3942, we have to find the factors of both numbers and list the highest common factor.
The factors of 3723 are 1, 3, 17, 51, 73, 219, 1241, 3723
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The HCF of 3723,3942 is 219.
Lets's calculate GCF of 3723,3942
| 3 | 3723, 3942 |
| 73 | 1241, 1314 |
| 17, 18 |
∴ So the GCF of the given numbers is 3 x 73 = 219
Greatest Common Factor of 3723,3942 By Matching Biggest Common Factor Method
Now, list down the factors of 3723
:1,3,17,51,73,219,1241,3723
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 3723,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 3723,3942 is 219.
Lets's calculate LCM of 537,5344
Given numbers has no common factors except 1. So, there LCM is their product i.e 2869728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 219/2869728
Therefore, the GCF of Fractions 3723/537,3942/5344 is 219/2869728
Least Common Multiple of 537,5344 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 537,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,5344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,5344) x common factors =1 x 1 = 1
LCM(537,5344) = ( 537 × 5344 ) / 1
LCM(537,5344) = 2869728 / 1
LCM(537,5344) = 2869728
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FAQs on GCF of Fractions of 3723/537, 3942/5344
1. What is the HCF of 3723,3942?
The HCF of 3723,3942 is 219
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 3723/537, 3942/5344?
Answer: GCF of Numerators as per given numbers 3723/537, 3942/5344 is
GCF of Numerators i.e. for 3723,3942 is 219
LCM of denominators i.e. for 537,5344 is 2869728.
Thus, GCF of Fractions is 219/2869728.Finally, GCF of Fractions for 3723/537, 3942/5344 is 219/2869728.