GCF of 4439/966, 1909/8636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4439/966, 1909/8636 i.e 23/4171188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4439/966, 1909/8636.
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 4439/966,1909/8636?
Given fractions are 4439/966,1909/8636
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 4439/966,1909/8636, numerators are 4439,1909
Denominators are 966,8636
The GCF of 4439,1909 is 23 .
LCM of 966,8636 is 4171188.
The greatest common factor of 4439/966,1909/8636 = [GCF of 4439,1909]/[LCM of 966,8636]= 23/4171188
Therefore, the GCF of 4439/966,1909/8636 is 23/4171188.
To find the highest common factor of 4439,1909, we have to find the factors of both numbers and list the highest common factor.
The factors of 4439 are 1, 23, 193, 4439
The factors of 1909 are 1, 23, 83, 1909
The HCF of 4439,1909 is 23.
Lets's calculate GCF of 4439,1909
| 23 | 4439, 1909 |
| 193, 83 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4439,1909 By Matching Biggest Common Factor Method
Now, list down the factors of 4439
:1,23,193,4439
Now, list down the factors of 1909
:1,23,83,1909
Greatest Common Factor
We found the factors 4439,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 4439,1909 is 23.
Lets's calculate LCM of 966,8636
| 2 | 966, 8636 |
| 483, 4318 |
∴ So the LCM of the given numbers is 2 x 483 x 4318 = 4171188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4171188
Therefore, the GCF of Fractions 4439/966,1909/8636 is 23/4171188
Least Common Multiple of 966,8636 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 966,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,8636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(966,8636) x common factors =2 x 1 = 2
LCM(966,8636) = ( 966 × 8636 ) / 2
LCM(966,8636) = 8342376 / 2
LCM(966,8636) = 4171188
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FAQs on GCF of Fractions of 4439/966, 1909/8636
1. What is the HCF of 4439,1909?
The HCF of 4439,1909 is 23
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 4439/966, 1909/8636?
Answer: GCF of Numerators as per given numbers 4439/966, 1909/8636 is
GCF of Numerators i.e. for 4439,1909 is 23
LCM of denominators i.e. for 966,8636 is 4171188.
Thus, GCF of Fractions is 23/4171188.Finally, GCF of Fractions for 4439/966, 1909/8636 is 23/4171188.