GCF of 872/83, 905/50, 444/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 872/83, 905/50, 444/166 i.e 1/4150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/83, 905/50, 444/166.
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 872/83,905/50,444/166?
Given fractions are 872/83,905/50,444/166
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 872/83,905/50,444/166, numerators are 872,905,444
Denominators are 83,50,166
The GCF of 872,905,444 is 1 .
LCM of 83,50,166 is 4150.
The greatest common factor of 872/83,905/50,444/166 = [GCF of 872,905,444]/[LCM of 83,50,166]= 1/4150
Therefore, the GCF of 872/83,905/50,444/166 is 1/4150.
To find the highest common factor of 872,905,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The factors of 905 are 1, 5, 181, 905
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 872,905,444 is 1.
Lets's calculate GCF of 872,905,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 872,905,444 By Matching Biggest Common Factor Method
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 872,905,444 . The biggest common factor number is the GCF number.
So the greatest common factor 872,905,444 is 1.
Lets's calculate LCM of 83,50,166
| 2 | 83, 50, 166 |
| 83 | 83, 25, 83 |
| 1, 25, 1 |
∴ So the LCM of the given numbers is 2 x 83 x 1 x 25 x 1 = 4150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4150
Therefore, the GCF of Fractions 872/83,905/50,444/166 is 1/4150
Least Common Multiple of 83,50,166 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 83,50,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,50,166) = 1
common factors(in case of two or more numbers have common factors) = 166
GCF(83,50,166) x common factors =1 x 166 = 166
LCM(83,50,166) = ( 83 × 50 × 166 ) / 166
LCM(83,50,166) = 688900 / 166
LCM(83,50,166) = 4150
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FAQs on GCF of Fractions of 872/83, 905/50, 444/166
1. What is the HCF of 872,905,444?
The HCF of 872,905,444 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 872/83, 905/50, 444/166?
Answer: GCF of Numerators as per given numbers 872/83, 905/50, 444/166 is
GCF of Numerators i.e. for 872,905,444 is 1
LCM of denominators i.e. for 83,50,166 is 4150.
Thus, GCF of Fractions is 1/4150.Finally, GCF of Fractions for 872/83, 905/50, 444/166 is 1/4150.