GCF of 750/512, 435/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 750/512, 435/384 i.e 15/1536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/512, 435/384.
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 750/512,435/384?
Given fractions are 750/512,435/384
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 750/512,435/384, numerators are 750,435
Denominators are 512,384
The GCF of 750,435 is 15 .
LCM of 512,384 is 1536.
The greatest common factor of 750/512,435/384 = [GCF of 750,435]/[LCM of 512,384]= 15/1536
Therefore, the GCF of 750/512,435/384 is 15/1536.
To find the highest common factor of 750,435, we have to find the factors of both numbers and list the highest common factor.
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The HCF of 750,435 is 15.
Lets's calculate GCF of 750,435
| 3 | 750, 435 |
| 5 | 250, 145 |
| 50, 29 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 750,435 By Matching Biggest Common Factor Method
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 750,435 . The biggest common factor number is the GCF number.
So the greatest common factor 750,435 is 15.
Lets's calculate LCM of 512,384
| 2 | 512, 384 |
| 2 | 256, 192 |
| 2 | 128, 96 |
| 2 | 64, 48 |
| 2 | 32, 24 |
| 2 | 16, 12 |
| 2 | 8, 6 |
| 4, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 4 x 3 = 1536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1536
Therefore, the GCF of Fractions 750/512,435/384 is 15/1536
Least Common Multiple of 512,384 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 512,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,384) = 128
common factors(in case of two or more numbers have common factors) = 1
GCF(512,384) x common factors =128 x 1 = 128
LCM(512,384) = ( 512 × 384 ) / 128
LCM(512,384) = 196608 / 128
LCM(512,384) = 1536
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FAQs on GCF of Fractions of 750/512, 435/384
1. What is the HCF of 750,435?
The HCF of 750,435 is 15
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 750/512, 435/384?
Answer: GCF of Numerators as per given numbers 750/512, 435/384 is
GCF of Numerators i.e. for 750,435 is 15
LCM of denominators i.e. for 512,384 is 1536.
Thus, GCF of Fractions is 15/1536.Finally, GCF of Fractions for 750/512, 435/384 is 15/1536.