GCF of 337/867, 267/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 337/867, 267/578 i.e 1/1734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 337/867, 267/578.
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 337/867,267/578?
Given fractions are 337/867,267/578
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 337/867,267/578, numerators are 337,267
Denominators are 867,578
The GCF of 337,267 is 1 .
LCM of 867,578 is 1734.
The greatest common factor of 337/867,267/578 = [GCF of 337,267]/[LCM of 867,578]= 1/1734
Therefore, the GCF of 337/867,267/578 is 1/1734.
To find the highest common factor of 337,267, we have to find the factors of both numbers and list the highest common factor.
The factors of 337 are 1, 337
The factors of 267 are 1, 3, 89, 267
The HCF of 337,267 is 1.
Lets's calculate GCF of 337,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 337,267 By Matching Biggest Common Factor Method
Now, list down the factors of 337
:1,337
Now, list down the factors of 267
:1,3,89,267
Greatest Common Factor
We found the factors 337,267 . The biggest common factor number is the GCF number.
So the greatest common factor 337,267 is 1.
Lets's calculate LCM of 867,578
| 17 | 867, 578 |
| 17 | 51, 34 |
| 3, 2 |
∴ So the LCM of the given numbers is 17 x 17 x 3 x 2 = 1734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1734
Therefore, the GCF of Fractions 337/867,267/578 is 1/1734
Least Common Multiple of 867,578 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 867,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,578) = 289
common factors(in case of two or more numbers have common factors) = 1
GCF(867,578) x common factors =289 x 1 = 289
LCM(867,578) = ( 867 × 578 ) / 289
LCM(867,578) = 501126 / 289
LCM(867,578) = 1734
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FAQs on GCF of Fractions of 337/867, 267/578
1. What is the HCF of 337,267?
The HCF of 337,267 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 337/867, 267/578?
Answer: GCF of Numerators as per given numbers 337/867, 267/578 is
GCF of Numerators i.e. for 337,267 is 1
LCM of denominators i.e. for 867,578 is 1734.
Thus, GCF of Fractions is 1/1734.Finally, GCF of Fractions for 337/867, 267/578 is 1/1734.