GCF of 3738/644, 1575/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3738/644, 1575/843 i.e 21/542892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3738/644, 1575/843.
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 3738/644,1575/843?
Given fractions are 3738/644,1575/843
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 3738/644,1575/843, numerators are 3738,1575
Denominators are 644,843
The GCF of 3738,1575 is 21 .
LCM of 644,843 is 542892.
The greatest common factor of 3738/644,1575/843 = [GCF of 3738,1575]/[LCM of 644,843]= 21/542892
Therefore, the GCF of 3738/644,1575/843 is 21/542892.
To find the highest common factor of 3738,1575, we have to find the factors of both numbers and list the highest common factor.
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
The HCF of 3738,1575 is 21.
Lets's calculate GCF of 3738,1575
| 3 | 3738, 1575 |
| 7 | 1246, 525 |
| 178, 75 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 3738,1575 By Matching Biggest Common Factor Method
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Now, list down the factors of 1575
:1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Greatest Common Factor
We found the factors 3738,1575 . The biggest common factor number is the GCF number.
So the greatest common factor 3738,1575 is 21.
Lets's calculate LCM of 644,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 542892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/542892
Therefore, the GCF of Fractions 3738/644,1575/843 is 21/542892
Least Common Multiple of 644,843 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 644,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,843) x common factors =1 x 1 = 1
LCM(644,843) = ( 644 × 843 ) / 1
LCM(644,843) = 542892 / 1
LCM(644,843) = 542892
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FAQs on GCF of Fractions of 3738/644, 1575/843
1. What is the HCF of 3738,1575?
The HCF of 3738,1575 is 21
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 3738/644, 1575/843?
Answer: GCF of Numerators as per given numbers 3738/644, 1575/843 is
GCF of Numerators i.e. for 3738,1575 is 21
LCM of denominators i.e. for 644,843 is 542892.
Thus, GCF of Fractions is 21/542892.Finally, GCF of Fractions for 3738/644, 1575/843 is 21/542892.