GCF of 4133/572, 8254/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4133/572, 8254/687 i.e 1/392964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4133/572, 8254/687.
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 4133/572,8254/687?
Given fractions are 4133/572,8254/687
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 4133/572,8254/687, numerators are 4133,8254
Denominators are 572,687
The GCF of 4133,8254 is 1 .
LCM of 572,687 is 392964.
The greatest common factor of 4133/572,8254/687 = [GCF of 4133,8254]/[LCM of 572,687]= 1/392964
Therefore, the GCF of 4133/572,8254/687 is 1/392964.
To find the highest common factor of 4133,8254, we have to find the factors of both numbers and list the highest common factor.
The factors of 4133 are 1, 4133
The factors of 8254 are 1, 2, 4127, 8254
The HCF of 4133,8254 is 1.
Lets's calculate GCF of 4133,8254
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4133,8254 By Matching Biggest Common Factor Method
Now, list down the factors of 4133
:1,4133
Now, list down the factors of 8254
:1,2,4127,8254
Greatest Common Factor
We found the factors 4133,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 4133,8254 is 1.
Lets's calculate LCM of 572,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 392964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392964
Therefore, the GCF of Fractions 4133/572,8254/687 is 1/392964
Least Common Multiple of 572,687 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 572,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,687) x common factors =1 x 1 = 1
LCM(572,687) = ( 572 × 687 ) / 1
LCM(572,687) = 392964 / 1
LCM(572,687) = 392964
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FAQs on GCF of Fractions of 4133/572, 8254/687
1. What is the HCF of 4133,8254?
The HCF of 4133,8254 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 4133/572, 8254/687?
Answer: GCF of Numerators as per given numbers 4133/572, 8254/687 is
GCF of Numerators i.e. for 4133,8254 is 1
LCM of denominators i.e. for 572,687 is 392964.
Thus, GCF of Fractions is 1/392964.Finally, GCF of Fractions for 4133/572, 8254/687 is 1/392964.