GCF of 424/48, 530/512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/48, 530/512 i.e 106/1536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/48, 530/512.
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 424/48,530/512?
Given fractions are 424/48,530/512
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 424/48,530/512, numerators are 424,530
Denominators are 48,512
The GCF of 424,530 is 106 .
LCM of 48,512 is 1536.
The greatest common factor of 424/48,530/512 = [GCF of 424,530]/[LCM of 48,512]= 106/1536
Therefore, the GCF of 424/48,530/512 is 106/1536.
To find the highest common factor of 424,530, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 424,530 is 106.
Lets's calculate GCF of 424,530
| 2 | 424, 530 |
| 53 | 212, 265 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 424,530 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 424,530 . The biggest common factor number is the GCF number.
So the greatest common factor 424,530 is 106.
Lets's calculate LCM of 48,512
| 2 | 48, 512 |
| 2 | 24, 256 |
| 2 | 12, 128 |
| 2 | 6, 64 |
| 3, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 32 = 1536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/1536
Therefore, the GCF of Fractions 424/48,530/512 is 106/1536
Least Common Multiple of 48,512 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 48,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,512) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(48,512) x common factors =16 x 1 = 16
LCM(48,512) = ( 48 × 512 ) / 16
LCM(48,512) = 24576 / 16
LCM(48,512) = 1536
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FAQs on GCF of Fractions of 424/48, 530/512
1. What is the HCF of 424,530?
The HCF of 424,530 is 106
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 424/48, 530/512?
Answer: GCF of Numerators as per given numbers 424/48, 530/512 is
GCF of Numerators i.e. for 424,530 is 106
LCM of denominators i.e. for 48,512 is 1536.
Thus, GCF of Fractions is 106/1536.Finally, GCF of Fractions for 424/48, 530/512 is 106/1536.