GCF of 1455/377, 4392/2161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1455/377, 4392/2161 i.e 3/814697 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1455/377, 4392/2161.
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 1455/377,4392/2161?
Given fractions are 1455/377,4392/2161
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 1455/377,4392/2161, numerators are 1455,4392
Denominators are 377,2161
The GCF of 1455,4392 is 3 .
LCM of 377,2161 is 814697.
The greatest common factor of 1455/377,4392/2161 = [GCF of 1455,4392]/[LCM of 377,2161]= 3/814697
Therefore, the GCF of 1455/377,4392/2161 is 3/814697.
To find the highest common factor of 1455,4392, we have to find the factors of both numbers and list the highest common factor.
The factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455
The factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392
The HCF of 1455,4392 is 3.
Lets's calculate GCF of 1455,4392
| 3 | 1455, 4392 |
| 485, 1464 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1455,4392 By Matching Biggest Common Factor Method
Now, list down the factors of 1455
:1,3,5,15,97,291,485,1455
Now, list down the factors of 4392
:1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392
Greatest Common Factor
We found the factors 1455,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 1455,4392 is 3.
Lets's calculate LCM of 377,2161
Given numbers has no common factors except 1. So, there LCM is their product i.e 814697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/814697
Therefore, the GCF of Fractions 1455/377,4392/2161 is 3/814697
Least Common Multiple of 377,2161 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 377,2161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,2161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,2161) x common factors =1 x 1 = 1
LCM(377,2161) = ( 377 × 2161 ) / 1
LCM(377,2161) = 814697 / 1
LCM(377,2161) = 814697
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FAQs on GCF of Fractions of 1455/377, 4392/2161
1. What is the HCF of 1455,4392?
The HCF of 1455,4392 is 3
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 1455/377, 4392/2161?
Answer: GCF of Numerators as per given numbers 1455/377, 4392/2161 is
GCF of Numerators i.e. for 1455,4392 is 3
LCM of denominators i.e. for 377,2161 is 814697.
Thus, GCF of Fractions is 3/814697.Finally, GCF of Fractions for 1455/377, 4392/2161 is 3/814697.