GCF of 5127/598, 6668/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5127/598, 6668/608 i.e 1/181792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5127/598, 6668/608.
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 5127/598,6668/608?
Given fractions are 5127/598,6668/608
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 5127/598,6668/608, numerators are 5127,6668
Denominators are 598,608
The GCF of 5127,6668 is 1 .
LCM of 598,608 is 181792.
The greatest common factor of 5127/598,6668/608 = [GCF of 5127,6668]/[LCM of 598,608]= 1/181792
Therefore, the GCF of 5127/598,6668/608 is 1/181792.
To find the highest common factor of 5127,6668, we have to find the factors of both numbers and list the highest common factor.
The factors of 5127 are 1, 3, 1709, 5127
The factors of 6668 are 1, 2, 4, 1667, 3334, 6668
The HCF of 5127,6668 is 1.
Lets's calculate GCF of 5127,6668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5127,6668 By Matching Biggest Common Factor Method
Now, list down the factors of 5127
:1,3,1709,5127
Now, list down the factors of 6668
:1,2,4,1667,3334,6668
Greatest Common Factor
We found the factors 5127,6668 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,6668 is 1.
Lets's calculate LCM of 598,608
| 2 | 598, 608 |
| 299, 304 |
∴ So the LCM of the given numbers is 2 x 299 x 304 = 181792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181792
Therefore, the GCF of Fractions 5127/598,6668/608 is 1/181792
Least Common Multiple of 598,608 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 598,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,608) x common factors =2 x 1 = 2
LCM(598,608) = ( 598 × 608 ) / 2
LCM(598,608) = 363584 / 2
LCM(598,608) = 181792
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FAQs on GCF of Fractions of 5127/598, 6668/608
1. What is the HCF of 5127,6668?
The HCF of 5127,6668 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 5127/598, 6668/608?
Answer: GCF of Numerators as per given numbers 5127/598, 6668/608 is
GCF of Numerators i.e. for 5127,6668 is 1
LCM of denominators i.e. for 598,608 is 181792.
Thus, GCF of Fractions is 1/181792.Finally, GCF of Fractions for 5127/598, 6668/608 is 1/181792.