GCF of 2568/433, 9247/5410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2568/433, 9247/5410 i.e 1/2342530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2568/433, 9247/5410.
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 2568/433,9247/5410?
Given fractions are 2568/433,9247/5410
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 2568/433,9247/5410, numerators are 2568,9247
Denominators are 433,5410
The GCF of 2568,9247 is 1 .
LCM of 433,5410 is 2342530.
The greatest common factor of 2568/433,9247/5410 = [GCF of 2568,9247]/[LCM of 433,5410]= 1/2342530
Therefore, the GCF of 2568/433,9247/5410 is 1/2342530.
To find the highest common factor of 2568,9247, we have to find the factors of both numbers and list the highest common factor.
The factors of 2568 are 1, 2, 3, 4, 6, 8, 12, 24, 107, 214, 321, 428, 642, 856, 1284, 2568
The factors of 9247 are 1, 7, 1321, 9247
The HCF of 2568,9247 is 1.
Lets's calculate GCF of 2568,9247
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2568,9247 By Matching Biggest Common Factor Method
Now, list down the factors of 2568
:1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Now, list down the factors of 9247
:1,7,1321,9247
Greatest Common Factor
We found the factors 2568,9247 . The biggest common factor number is the GCF number.
So the greatest common factor 2568,9247 is 1.
Lets's calculate LCM of 433,5410
Given numbers has no common factors except 1. So, there LCM is their product i.e 2342530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2342530
Therefore, the GCF of Fractions 2568/433,9247/5410 is 1/2342530
Least Common Multiple of 433,5410 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 433,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,5410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,5410) x common factors =1 x 1 = 1
LCM(433,5410) = ( 433 × 5410 ) / 1
LCM(433,5410) = 2342530 / 1
LCM(433,5410) = 2342530
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FAQs on GCF of Fractions of 2568/433, 9247/5410
1. What is the HCF of 2568,9247?
The HCF of 2568,9247 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 2568/433, 9247/5410?
Answer: GCF of Numerators as per given numbers 2568/433, 9247/5410 is
GCF of Numerators i.e. for 2568,9247 is 1
LCM of denominators i.e. for 433,5410 is 2342530.
Thus, GCF of Fractions is 1/2342530.Finally, GCF of Fractions for 2568/433, 9247/5410 is 1/2342530.