GCF of 734/201, 574/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 734/201, 574/654 i.e 2/43818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/201, 574/654.
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 734/201,574/654?
Given fractions are 734/201,574/654
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 734/201,574/654, numerators are 734,574
Denominators are 201,654
The GCF of 734,574 is 2 .
LCM of 201,654 is 43818.
The greatest common factor of 734/201,574/654 = [GCF of 734,574]/[LCM of 201,654]= 2/43818
Therefore, the GCF of 734/201,574/654 is 2/43818.
To find the highest common factor of 734,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 734 are 1, 2, 367, 734
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 734,574 is 2.
Lets's calculate GCF of 734,574
| 2 | 734, 574 |
| 367, 287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 734,574 By Matching Biggest Common Factor Method
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 734,574 . The biggest common factor number is the GCF number.
So the greatest common factor 734,574 is 2.
Lets's calculate LCM of 201,654
| 3 | 201, 654 |
| 67, 218 |
∴ So the LCM of the given numbers is 3 x 67 x 218 = 43818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43818
Therefore, the GCF of Fractions 734/201,574/654 is 2/43818
Least Common Multiple of 201,654 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 201,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,654) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,654) x common factors =3 x 1 = 3
LCM(201,654) = ( 201 × 654 ) / 3
LCM(201,654) = 131454 / 3
LCM(201,654) = 43818
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FAQs on GCF of Fractions of 734/201, 574/654
1. What is the HCF of 734,574?
The HCF of 734,574 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 734/201, 574/654?
Answer: GCF of Numerators as per given numbers 734/201, 574/654 is
GCF of Numerators i.e. for 734,574 is 2
LCM of denominators i.e. for 201,654 is 43818.
Thus, GCF of Fractions is 2/43818.Finally, GCF of Fractions for 734/201, 574/654 is 2/43818.