GCF of 949/21, 367/1989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 949/21, 367/1989 i.e 1/13923 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/21, 367/1989.
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 949/21,367/1989?
Given fractions are 949/21,367/1989
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 949/21,367/1989, numerators are 949,367
Denominators are 21,1989
The GCF of 949,367 is 1 .
LCM of 21,1989 is 13923.
The greatest common factor of 949/21,367/1989 = [GCF of 949,367]/[LCM of 21,1989]= 1/13923
Therefore, the GCF of 949/21,367/1989 is 1/13923.
To find the highest common factor of 949,367, we have to find the factors of both numbers and list the highest common factor.
The factors of 949 are 1, 13, 73, 949
The factors of 367 are 1, 367
The HCF of 949,367 is 1.
Lets's calculate GCF of 949,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 949,367 By Matching Biggest Common Factor Method
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 367
:1,367
Greatest Common Factor
We found the factors 949,367 . The biggest common factor number is the GCF number.
So the greatest common factor 949,367 is 1.
Lets's calculate LCM of 21,1989
| 3 | 21, 1989 |
| 7, 663 |
∴ So the LCM of the given numbers is 3 x 7 x 663 = 13923
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13923
Therefore, the GCF of Fractions 949/21,367/1989 is 1/13923
Least Common Multiple of 21,1989 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 21,1989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,1989) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,1989) x common factors =3 x 1 = 3
LCM(21,1989) = ( 21 × 1989 ) / 3
LCM(21,1989) = 41769 / 3
LCM(21,1989) = 13923
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FAQs on GCF of Fractions of 949/21, 367/1989
1. What is the HCF of 949,367?
The HCF of 949,367 is 1
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 949/21, 367/1989?
Answer: GCF of Numerators as per given numbers 949/21, 367/1989 is
GCF of Numerators i.e. for 949,367 is 1
LCM of denominators i.e. for 21,1989 is 13923.
Thus, GCF of Fractions is 1/13923.Finally, GCF of Fractions for 949/21, 367/1989 is 1/13923.