GCF of 290/59, 512/532
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/59, 512/532 i.e 2/31388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/59, 512/532.
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 290/59,512/532?
Given fractions are 290/59,512/532
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 290/59,512/532, numerators are 290,512
Denominators are 59,532
The GCF of 290,512 is 2 .
LCM of 59,532 is 31388.
The greatest common factor of 290/59,512/532 = [GCF of 290,512]/[LCM of 59,532]= 2/31388
Therefore, the GCF of 290/59,512/532 is 2/31388.
To find the highest common factor of 290,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 290,512 is 2.
Lets's calculate GCF of 290,512
| 2 | 290, 512 |
| 145, 256 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 290,512 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 290,512 . The biggest common factor number is the GCF number.
So the greatest common factor 290,512 is 2.
Lets's calculate LCM of 59,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 31388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31388
Therefore, the GCF of Fractions 290/59,512/532 is 2/31388
Least Common Multiple of 59,532 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 59,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,532) x common factors =1 x 1 = 1
LCM(59,532) = ( 59 × 532 ) / 1
LCM(59,532) = 31388 / 1
LCM(59,532) = 31388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 290/59, 512/532
1. What is the HCF of 290,512?
The HCF of 290,512 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 290/59, 512/532?
Answer: GCF of Numerators as per given numbers 290/59, 512/532 is
GCF of Numerators i.e. for 290,512 is 2
LCM of denominators i.e. for 59,532 is 31388.
Thus, GCF of Fractions is 2/31388.Finally, GCF of Fractions for 290/59, 512/532 is 2/31388.