GCF of 568/421, 649/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 568/421, 649/584 i.e 1/245864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/421, 649/584.
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 568/421,649/584?
Given fractions are 568/421,649/584
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 568/421,649/584, numerators are 568,649
Denominators are 421,584
The GCF of 568,649 is 1 .
LCM of 421,584 is 245864.
The greatest common factor of 568/421,649/584 = [GCF of 568,649]/[LCM of 421,584]= 1/245864
Therefore, the GCF of 568/421,649/584 is 1/245864.
To find the highest common factor of 568,649, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 649 are 1, 11, 59, 649
The HCF of 568,649 is 1.
Lets's calculate GCF of 568,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 568,649 By Matching Biggest Common Factor Method
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 568,649 . The biggest common factor number is the GCF number.
So the greatest common factor 568,649 is 1.
Lets's calculate LCM of 421,584
Given numbers has no common factors except 1. So, there LCM is their product i.e 245864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245864
Therefore, the GCF of Fractions 568/421,649/584 is 1/245864
Least Common Multiple of 421,584 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 421,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,584) x common factors =1 x 1 = 1
LCM(421,584) = ( 421 × 584 ) / 1
LCM(421,584) = 245864 / 1
LCM(421,584) = 245864
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FAQs on GCF of Fractions of 568/421, 649/584
1. What is the HCF of 568,649?
The HCF of 568,649 is 1
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 568/421, 649/584?
Answer: GCF of Numerators as per given numbers 568/421, 649/584 is
GCF of Numerators i.e. for 568,649 is 1
LCM of denominators i.e. for 421,584 is 245864.
Thus, GCF of Fractions is 1/245864.Finally, GCF of Fractions for 568/421, 649/584 is 1/245864.