GCF of 479/525, 958/864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 479/525, 958/864 i.e 479/151200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 479/525, 958/864.
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 479/525,958/864?
Given fractions are 479/525,958/864
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 479/525,958/864, numerators are 479,958
Denominators are 525,864
The GCF of 479,958 is 479 .
LCM of 525,864 is 151200.
The greatest common factor of 479/525,958/864 = [GCF of 479,958]/[LCM of 525,864]= 479/151200
Therefore, the GCF of 479/525,958/864 is 479/151200.
To find the highest common factor of 479,958, we have to find the factors of both numbers and list the highest common factor.
The factors of 479 are 1, 479
The factors of 958 are 1, 2, 479, 958
The HCF of 479,958 is 479.
Lets's calculate GCF of 479,958
| 479 | 479, 958 |
| 1, 2 |
∴ So the GCF of the given numbers is 479 = 479
Greatest Common Factor of 479,958 By Matching Biggest Common Factor Method
Now, list down the factors of 479
:1,479
Now, list down the factors of 958
:1,2,479,958
Greatest Common Factor
We found the factors 479,958 . The biggest common factor number is the GCF number.
So the greatest common factor 479,958 is 479.
Lets's calculate LCM of 525,864
| 3 | 525, 864 |
| 175, 288 |
∴ So the LCM of the given numbers is 3 x 175 x 288 = 151200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 479/151200
Therefore, the GCF of Fractions 479/525,958/864 is 479/151200
Least Common Multiple of 525,864 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 525,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,864) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,864) x common factors =3 x 1 = 3
LCM(525,864) = ( 525 × 864 ) / 3
LCM(525,864) = 453600 / 3
LCM(525,864) = 151200
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FAQs on GCF of Fractions of 479/525, 958/864
1. What is the HCF of 479,958?
The HCF of 479,958 is 479
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 479/525, 958/864?
Answer: GCF of Numerators as per given numbers 479/525, 958/864 is
GCF of Numerators i.e. for 479,958 is 479
LCM of denominators i.e. for 525,864 is 151200.
Thus, GCF of Fractions is 479/151200.Finally, GCF of Fractions for 479/525, 958/864 is 479/151200.