GCF of 7106/211, 1444/1987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7106/211, 1444/1987 i.e 38/419257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7106/211, 1444/1987.
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 7106/211,1444/1987?
Given fractions are 7106/211,1444/1987
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 7106/211,1444/1987, numerators are 7106,1444
Denominators are 211,1987
The GCF of 7106,1444 is 38 .
LCM of 211,1987 is 419257.
The greatest common factor of 7106/211,1444/1987 = [GCF of 7106,1444]/[LCM of 211,1987]= 38/419257
Therefore, the GCF of 7106/211,1444/1987 is 38/419257.
To find the highest common factor of 7106,1444, we have to find the factors of both numbers and list the highest common factor.
The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106
The factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444
The HCF of 7106,1444 is 38.
Lets's calculate GCF of 7106,1444
| 2 | 7106, 1444 |
| 19 | 3553, 722 |
| 187, 38 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 7106,1444 By Matching Biggest Common Factor Method
Now, list down the factors of 7106
:1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Now, list down the factors of 1444
:1,2,4,19,38,76,361,722,1444
Greatest Common Factor
We found the factors 7106,1444 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,1444 is 38.
Lets's calculate LCM of 211,1987
Given numbers has no common factors except 1. So, there LCM is their product i.e 419257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/419257
Therefore, the GCF of Fractions 7106/211,1444/1987 is 38/419257
Least Common Multiple of 211,1987 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 211,1987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,1987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,1987) x common factors =1 x 1 = 1
LCM(211,1987) = ( 211 × 1987 ) / 1
LCM(211,1987) = 419257 / 1
LCM(211,1987) = 419257
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FAQs on GCF of Fractions of 7106/211, 1444/1987
1. What is the HCF of 7106,1444?
The HCF of 7106,1444 is 38
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 7106/211, 1444/1987?
Answer: GCF of Numerators as per given numbers 7106/211, 1444/1987 is
GCF of Numerators i.e. for 7106,1444 is 38
LCM of denominators i.e. for 211,1987 is 419257.
Thus, GCF of Fractions is 38/419257.Finally, GCF of Fractions for 7106/211, 1444/1987 is 38/419257.