GCF of 512/47, 206/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 512/47, 206/435 i.e 2/20445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/47, 206/435.
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 512/47,206/435?
Given fractions are 512/47,206/435
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 512/47,206/435, numerators are 512,206
Denominators are 47,435
The GCF of 512,206 is 2 .
LCM of 47,435 is 20445.
The greatest common factor of 512/47,206/435 = [GCF of 512,206]/[LCM of 47,435]= 2/20445
Therefore, the GCF of 512/47,206/435 is 2/20445.
To find the highest common factor of 512,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 206 are 1, 2, 103, 206
The HCF of 512,206 is 2.
Lets's calculate GCF of 512,206
| 2 | 512, 206 |
| 256, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 512,206 By Matching Biggest Common Factor Method
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 512,206 . The biggest common factor number is the GCF number.
So the greatest common factor 512,206 is 2.
Lets's calculate LCM of 47,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 20445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20445
Therefore, the GCF of Fractions 512/47,206/435 is 2/20445
Least Common Multiple of 47,435 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 47,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,435) x common factors =1 x 1 = 1
LCM(47,435) = ( 47 × 435 ) / 1
LCM(47,435) = 20445 / 1
LCM(47,435) = 20445
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FAQs on GCF of Fractions of 512/47, 206/435
1. What is the HCF of 512,206?
The HCF of 512,206 is 2
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 512/47, 206/435?
Answer: GCF of Numerators as per given numbers 512/47, 206/435 is
GCF of Numerators i.e. for 512,206 is 2
LCM of denominators i.e. for 47,435 is 20445.
Thus, GCF of Fractions is 2/20445.Finally, GCF of Fractions for 512/47, 206/435 is 2/20445.