GCF of 39/765, 36/162, 300/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/765, 36/162, 300/841 i.e 3/11580570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/765, 36/162, 300/841.
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 39/765,36/162,300/841?
Given fractions are 39/765,36/162,300/841
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 39/765,36/162,300/841, numerators are 39,36,300
Denominators are 765,162,841
The GCF of 39,36,300 is 3 .
LCM of 765,162,841 is 11580570.
The greatest common factor of 39/765,36/162,300/841 = [GCF of 39,36,300]/[LCM of 765,162,841]= 3/11580570
Therefore, the GCF of 39/765,36/162,300/841 is 3/11580570.
To find the highest common factor of 39,36,300, 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 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 39,36,300 is 3.
Lets's calculate GCF of 39,36,300
| 3 | 39, 36, 300 |
| 13, 12, 100 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 39,36,300 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 39,36,300 . The biggest common factor number is the GCF number.
So the greatest common factor 39,36,300 is 3.
Lets's calculate LCM of 765,162,841
| 3 | 765, 162, 841 |
| 3 | 255, 54, 841 |
| 85, 18, 841 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 18 x 841 = 11580570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11580570
Therefore, the GCF of Fractions 39/765,36/162,300/841 is 3/11580570
Least Common Multiple of 765,162,841 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 765,162,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,162,841) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(765,162,841) x common factors =1 x 9 = 9
LCM(765,162,841) = ( 765 × 162 × 841 ) / 9
LCM(765,162,841) = 104225130 / 9
LCM(765,162,841) = 11580570
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FAQs on GCF of Fractions of 39/765, 36/162, 300/841
1. What is the HCF of 39,36,300?
The HCF of 39,36,300 is 3
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 39/765, 36/162, 300/841?
Answer: GCF of Numerators as per given numbers 39/765, 36/162, 300/841 is
GCF of Numerators i.e. for 39,36,300 is 3
LCM of denominators i.e. for 765,162,841 is 11580570.
Thus, GCF of Fractions is 3/11580570.Finally, GCF of Fractions for 39/765, 36/162, 300/841 is 3/11580570.