GCF of 574/59, 762/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 574/59, 762/291 i.e 2/17169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/59, 762/291.
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 574/59,762/291?
Given fractions are 574/59,762/291
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 574/59,762/291, numerators are 574,762
Denominators are 59,291
The GCF of 574,762 is 2 .
LCM of 59,291 is 17169.
The greatest common factor of 574/59,762/291 = [GCF of 574,762]/[LCM of 59,291]= 2/17169
Therefore, the GCF of 574/59,762/291 is 2/17169.
To find the highest common factor of 574,762, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The HCF of 574,762 is 2.
Lets's calculate GCF of 574,762
| 2 | 574, 762 |
| 287, 381 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 574,762 By Matching Biggest Common Factor Method
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 574,762 . The biggest common factor number is the GCF number.
So the greatest common factor 574,762 is 2.
Lets's calculate LCM of 59,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 17169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17169
Therefore, the GCF of Fractions 574/59,762/291 is 2/17169
Least Common Multiple of 59,291 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 59,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,291) x common factors =1 x 1 = 1
LCM(59,291) = ( 59 × 291 ) / 1
LCM(59,291) = 17169 / 1
LCM(59,291) = 17169
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FAQs on GCF of Fractions of 574/59, 762/291
1. What is the HCF of 574,762?
The HCF of 574,762 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 574/59, 762/291?
Answer: GCF of Numerators as per given numbers 574/59, 762/291 is
GCF of Numerators i.e. for 574,762 is 2
LCM of denominators i.e. for 59,291 is 17169.
Thus, GCF of Fractions is 2/17169.Finally, GCF of Fractions for 574/59, 762/291 is 2/17169.