GCF of 598/667, 286/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 598/667, 286/766 i.e 26/510922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 598/667, 286/766.
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 598/667,286/766?
Given fractions are 598/667,286/766
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 598/667,286/766, numerators are 598,286
Denominators are 667,766
The GCF of 598,286 is 26 .
LCM of 667,766 is 510922.
The greatest common factor of 598/667,286/766 = [GCF of 598,286]/[LCM of 667,766]= 26/510922
Therefore, the GCF of 598/667,286/766 is 26/510922.
To find the highest common factor of 598,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 598,286 is 26.
Lets's calculate GCF of 598,286
| 2 | 598, 286 |
| 13 | 299, 143 |
| 23, 11 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 598,286 By Matching Biggest Common Factor Method
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 598,286 . The biggest common factor number is the GCF number.
So the greatest common factor 598,286 is 26.
Lets's calculate LCM of 667,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 510922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/510922
Therefore, the GCF of Fractions 598/667,286/766 is 26/510922
Least Common Multiple of 667,766 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 667,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,766) x common factors =1 x 1 = 1
LCM(667,766) = ( 667 × 766 ) / 1
LCM(667,766) = 510922 / 1
LCM(667,766) = 510922
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FAQs on GCF of Fractions of 598/667, 286/766
1. What is the HCF of 598,286?
The HCF of 598,286 is 26
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 598/667, 286/766?
Answer: GCF of Numerators as per given numbers 598/667, 286/766 is
GCF of Numerators i.e. for 598,286 is 26
LCM of denominators i.e. for 667,766 is 510922.
Thus, GCF of Fractions is 26/510922.Finally, GCF of Fractions for 598/667, 286/766 is 26/510922.