GCF of 768/25, 412/2395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 768/25, 412/2395 i.e 4/11975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/25, 412/2395.
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 768/25,412/2395?
Given fractions are 768/25,412/2395
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 768/25,412/2395, numerators are 768,412
Denominators are 25,2395
The GCF of 768,412 is 4 .
LCM of 25,2395 is 11975.
The greatest common factor of 768/25,412/2395 = [GCF of 768,412]/[LCM of 25,2395]= 4/11975
Therefore, the GCF of 768/25,412/2395 is 4/11975.
To find the highest common factor of 768,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 768,412 is 4.
Lets's calculate GCF of 768,412
| 2 | 768, 412 |
| 2 | 384, 206 |
| 192, 103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 768,412 By Matching Biggest Common Factor Method
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 768,412 . The biggest common factor number is the GCF number.
So the greatest common factor 768,412 is 4.
Lets's calculate LCM of 25,2395
| 5 | 25, 2395 |
| 5, 479 |
∴ So the LCM of the given numbers is 5 x 5 x 479 = 11975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11975
Therefore, the GCF of Fractions 768/25,412/2395 is 4/11975
Least Common Multiple of 25,2395 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 25,2395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,2395) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(25,2395) x common factors =5 x 1 = 5
LCM(25,2395) = ( 25 × 2395 ) / 5
LCM(25,2395) = 59875 / 5
LCM(25,2395) = 11975
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FAQs on GCF of Fractions of 768/25, 412/2395
1. What is the HCF of 768,412?
The HCF of 768,412 is 4
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 768/25, 412/2395?
Answer: GCF of Numerators as per given numbers 768/25, 412/2395 is
GCF of Numerators i.e. for 768,412 is 4
LCM of denominators i.e. for 25,2395 is 11975.
Thus, GCF of Fractions is 4/11975.Finally, GCF of Fractions for 768/25, 412/2395 is 4/11975.