GCF of 668/619, 258/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 668/619, 258/568 i.e 2/351592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/619, 258/568.
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 668/619,258/568?
Given fractions are 668/619,258/568
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 668/619,258/568, numerators are 668,258
Denominators are 619,568
The GCF of 668,258 is 2 .
LCM of 619,568 is 351592.
The greatest common factor of 668/619,258/568 = [GCF of 668,258]/[LCM of 619,568]= 2/351592
Therefore, the GCF of 668/619,258/568 is 2/351592.
To find the highest common factor of 668,258, we have to find the factors of both numbers and list the highest common factor.
The factors of 668 are 1, 2, 4, 167, 334, 668
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The HCF of 668,258 is 2.
Lets's calculate GCF of 668,258
| 2 | 668, 258 |
| 334, 129 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 668,258 By Matching Biggest Common Factor Method
Now, list down the factors of 668
:1,2,4,167,334,668
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 668,258 . The biggest common factor number is the GCF number.
So the greatest common factor 668,258 is 2.
Lets's calculate LCM of 619,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 351592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/351592
Therefore, the GCF of Fractions 668/619,258/568 is 2/351592
Least Common Multiple of 619,568 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 619,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,568) x common factors =1 x 1 = 1
LCM(619,568) = ( 619 × 568 ) / 1
LCM(619,568) = 351592 / 1
LCM(619,568) = 351592
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FAQs on GCF of Fractions of 668/619, 258/568
1. What is the HCF of 668,258?
The HCF of 668,258 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 668/619, 258/568?
Answer: GCF of Numerators as per given numbers 668/619, 258/568 is
GCF of Numerators i.e. for 668,258 is 2
LCM of denominators i.e. for 619,568 is 351592.
Thus, GCF of Fractions is 2/351592.Finally, GCF of Fractions for 668/619, 258/568 is 2/351592.