GCF of 39/24, 889/86, 900/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/24, 889/86, 900/219 i.e 1/75336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/24, 889/86, 900/219.
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 39/24,889/86,900/219?
Given fractions are 39/24,889/86,900/219
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 39/24,889/86,900/219, numerators are 39,889,900
Denominators are 24,86,219
The GCF of 39,889,900 is 1 .
LCM of 24,86,219 is 75336.
The greatest common factor of 39/24,889/86,900/219 = [GCF of 39,889,900]/[LCM of 24,86,219]= 1/75336
Therefore, the GCF of 39/24,889/86,900/219 is 1/75336.
To find the highest common factor of 39,889,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 889 are 1, 7, 127, 889
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 39,889,900 is 1.
Lets's calculate GCF of 39,889,900
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,889,900 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 889
:1,7,127,889
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 39,889,900 . The biggest common factor number is the GCF number.
So the greatest common factor 39,889,900 is 1.
Lets's calculate LCM of 24,86,219
| 2 | 24, 86, 219 |
| 3 | 12, 43, 219 |
| 4, 43, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 43 x 73 = 75336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75336
Therefore, the GCF of Fractions 39/24,889/86,900/219 is 1/75336
Least Common Multiple of 24,86,219 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 24,86,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,86,219) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(24,86,219) x common factors =1 x 6 = 6
LCM(24,86,219) = ( 24 × 86 × 219 ) / 6
LCM(24,86,219) = 452016 / 6
LCM(24,86,219) = 75336
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FAQs on GCF of Fractions of 39/24, 889/86, 900/219
1. What is the HCF of 39,889,900?
The HCF of 39,889,900 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 39/24, 889/86, 900/219?
Answer: GCF of Numerators as per given numbers 39/24, 889/86, 900/219 is
GCF of Numerators i.e. for 39,889,900 is 1
LCM of denominators i.e. for 24,86,219 is 75336.
Thus, GCF of Fractions is 1/75336.Finally, GCF of Fractions for 39/24, 889/86, 900/219 is 1/75336.