GCF of 264/76, 415/9716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 264/76, 415/9716 i.e 1/184604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/76, 415/9716.
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 264/76,415/9716?
Given fractions are 264/76,415/9716
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 264/76,415/9716, numerators are 264,415
Denominators are 76,9716
The GCF of 264,415 is 1 .
LCM of 76,9716 is 184604.
The greatest common factor of 264/76,415/9716 = [GCF of 264,415]/[LCM of 76,9716]= 1/184604
Therefore, the GCF of 264/76,415/9716 is 1/184604.
To find the highest common factor of 264,415, we have to find the factors of both numbers and list the highest common factor.
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 415 are 1, 5, 83, 415
The HCF of 264,415 is 1.
Lets's calculate GCF of 264,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 264,415 By Matching Biggest Common Factor Method
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 415
:1,5,83,415
Greatest Common Factor
We found the factors 264,415 . The biggest common factor number is the GCF number.
So the greatest common factor 264,415 is 1.
Lets's calculate LCM of 76,9716
| 2 | 76, 9716 |
| 2 | 38, 4858 |
| 19, 2429 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 2429 = 184604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184604
Therefore, the GCF of Fractions 264/76,415/9716 is 1/184604
Least Common Multiple of 76,9716 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 76,9716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,9716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,9716) x common factors =4 x 1 = 4
LCM(76,9716) = ( 76 × 9716 ) / 4
LCM(76,9716) = 738416 / 4
LCM(76,9716) = 184604
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FAQs on GCF of Fractions of 264/76, 415/9716
1. What is the HCF of 264,415?
The HCF of 264,415 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 264/76, 415/9716?
Answer: GCF of Numerators as per given numbers 264/76, 415/9716 is
GCF of Numerators i.e. for 264,415 is 1
LCM of denominators i.e. for 76,9716 is 184604.
Thus, GCF of Fractions is 1/184604.Finally, GCF of Fractions for 264/76, 415/9716 is 1/184604.