GCF of 44/83, 62/324, 860/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/83, 62/324, 860/910 i.e 2/12235860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/83, 62/324, 860/910.
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 44/83,62/324,860/910?
Given fractions are 44/83,62/324,860/910
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 44/83,62/324,860/910, numerators are 44,62,860
Denominators are 83,324,910
The GCF of 44,62,860 is 2 .
LCM of 83,324,910 is 12235860.
The greatest common factor of 44/83,62/324,860/910 = [GCF of 44,62,860]/[LCM of 83,324,910]= 2/12235860
Therefore, the GCF of 44/83,62/324,860/910 is 2/12235860.
To find the highest common factor of 44,62,860, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 62 are 1, 2, 31, 62
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The HCF of 44,62,860 is 2.
Lets's calculate GCF of 44,62,860
| 2 | 44, 62, 860 |
| 22, 31, 430 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 44,62,860 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 44,62,860 . The biggest common factor number is the GCF number.
So the greatest common factor 44,62,860 is 2.
Lets's calculate LCM of 83,324,910
| 2 | 83, 324, 910 |
| 83, 162, 455 |
∴ So the LCM of the given numbers is 2 x 83 x 162 x 455 = 12235860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12235860
Therefore, the GCF of Fractions 44/83,62/324,860/910 is 2/12235860
Least Common Multiple of 83,324,910 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 83,324,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,324,910) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(83,324,910) x common factors =1 x 2 = 2
LCM(83,324,910) = ( 83 × 324 × 910 ) / 2
LCM(83,324,910) = 24471720 / 2
LCM(83,324,910) = 12235860
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FAQs on GCF of Fractions of 44/83, 62/324, 860/910
1. What is the HCF of 44,62,860?
The HCF of 44,62,860 is 2
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 44/83, 62/324, 860/910?
Answer: GCF of Numerators as per given numbers 44/83, 62/324, 860/910 is
GCF of Numerators i.e. for 44,62,860 is 2
LCM of denominators i.e. for 83,324,910 is 12235860.
Thus, GCF of Fractions is 2/12235860.Finally, GCF of Fractions for 44/83, 62/324, 860/910 is 2/12235860.