GCF of 3441/728, 7192/942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3441/728, 7192/942 i.e 31/342888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3441/728, 7192/942.
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 3441/728,7192/942?
Given fractions are 3441/728,7192/942
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 3441/728,7192/942, numerators are 3441,7192
Denominators are 728,942
The GCF of 3441,7192 is 31 .
LCM of 728,942 is 342888.
The greatest common factor of 3441/728,7192/942 = [GCF of 3441,7192]/[LCM of 728,942]= 31/342888
Therefore, the GCF of 3441/728,7192/942 is 31/342888.
To find the highest common factor of 3441,7192, we have to find the factors of both numbers and list the highest common factor.
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192
The HCF of 3441,7192 is 31.
Lets's calculate GCF of 3441,7192
| 31 | 3441, 7192 |
| 111, 232 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 3441,7192 By Matching Biggest Common Factor Method
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Now, list down the factors of 7192
:1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192
Greatest Common Factor
We found the factors 3441,7192 . The biggest common factor number is the GCF number.
So the greatest common factor 3441,7192 is 31.
Lets's calculate LCM of 728,942
| 2 | 728, 942 |
| 364, 471 |
∴ So the LCM of the given numbers is 2 x 364 x 471 = 342888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/342888
Therefore, the GCF of Fractions 3441/728,7192/942 is 31/342888
Least Common Multiple of 728,942 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 728,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(728,942) x common factors =2 x 1 = 2
LCM(728,942) = ( 728 × 942 ) / 2
LCM(728,942) = 685776 / 2
LCM(728,942) = 342888
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FAQs on GCF of Fractions of 3441/728, 7192/942
1. What is the HCF of 3441,7192?
The HCF of 3441,7192 is 31
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 3441/728, 7192/942?
Answer: GCF of Numerators as per given numbers 3441/728, 7192/942 is
GCF of Numerators i.e. for 3441,7192 is 31
LCM of denominators i.e. for 728,942 is 342888.
Thus, GCF of Fractions is 31/342888.Finally, GCF of Fractions for 3441/728, 7192/942 is 31/342888.