GCF of 64/75, 825/87, 915/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/75, 825/87, 915/208 i.e 1/452400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/75, 825/87, 915/208.
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 64/75,825/87,915/208?
Given fractions are 64/75,825/87,915/208
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 64/75,825/87,915/208, numerators are 64,825,915
Denominators are 75,87,208
The GCF of 64,825,915 is 1 .
LCM of 75,87,208 is 452400.
The greatest common factor of 64/75,825/87,915/208 = [GCF of 64,825,915]/[LCM of 75,87,208]= 1/452400
Therefore, the GCF of 64/75,825/87,915/208 is 1/452400.
To find the highest common factor of 64,825,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 64,825,915 is 1.
Lets's calculate GCF of 64,825,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,825,915 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 64,825,915 . The biggest common factor number is the GCF number.
So the greatest common factor 64,825,915 is 1.
Lets's calculate LCM of 75,87,208
| 3 | 75, 87, 208 |
| 25, 29, 208 |
∴ So the LCM of the given numbers is 3 x 25 x 29 x 208 = 452400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452400
Therefore, the GCF of Fractions 64/75,825/87,915/208 is 1/452400
Least Common Multiple of 75,87,208 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 75,87,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,87,208) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,87,208) x common factors =1 x 3 = 3
LCM(75,87,208) = ( 75 × 87 × 208 ) / 3
LCM(75,87,208) = 1357200 / 3
LCM(75,87,208) = 452400
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FAQs on GCF of Fractions of 64/75, 825/87, 915/208
1. What is the HCF of 64,825,915?
The HCF of 64,825,915 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 64/75, 825/87, 915/208?
Answer: GCF of Numerators as per given numbers 64/75, 825/87, 915/208 is
GCF of Numerators i.e. for 64,825,915 is 1
LCM of denominators i.e. for 75,87,208 is 452400.
Thus, GCF of Fractions is 1/452400.Finally, GCF of Fractions for 64/75, 825/87, 915/208 is 1/452400.