GCF of 2286/456, 2169/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2286/456, 2169/989 i.e 9/450984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2286/456, 2169/989.
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 2286/456,2169/989?
Given fractions are 2286/456,2169/989
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 2286/456,2169/989, numerators are 2286,2169
Denominators are 456,989
The GCF of 2286,2169 is 9 .
LCM of 456,989 is 450984.
The greatest common factor of 2286/456,2169/989 = [GCF of 2286,2169]/[LCM of 456,989]= 9/450984
Therefore, the GCF of 2286/456,2169/989 is 9/450984.
To find the highest common factor of 2286,2169, we have to find the factors of both numbers and list the highest common factor.
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The factors of 2169 are 1, 3, 9, 241, 723, 2169
The HCF of 2286,2169 is 9.
Lets's calculate GCF of 2286,2169
| 3 | 2286, 2169 |
| 3 | 762, 723 |
| 254, 241 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2286,2169 By Matching Biggest Common Factor Method
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Now, list down the factors of 2169
:1,3,9,241,723,2169
Greatest Common Factor
We found the factors 2286,2169 . The biggest common factor number is the GCF number.
So the greatest common factor 2286,2169 is 9.
Lets's calculate LCM of 456,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 450984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/450984
Therefore, the GCF of Fractions 2286/456,2169/989 is 9/450984
Least Common Multiple of 456,989 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 456,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,989) x common factors =1 x 1 = 1
LCM(456,989) = ( 456 × 989 ) / 1
LCM(456,989) = 450984 / 1
LCM(456,989) = 450984
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FAQs on GCF of Fractions of 2286/456, 2169/989
1. What is the HCF of 2286,2169?
The HCF of 2286,2169 is 9
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 2286/456, 2169/989?
Answer: GCF of Numerators as per given numbers 2286/456, 2169/989 is
GCF of Numerators i.e. for 2286,2169 is 9
LCM of denominators i.e. for 456,989 is 450984.
Thus, GCF of Fractions is 9/450984.Finally, GCF of Fractions for 2286/456, 2169/989 is 9/450984.