GCF of 675/297, 596/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 675/297, 596/207 i.e 1/6831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 675/297, 596/207.
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 675/297,596/207?
Given fractions are 675/297,596/207
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 675/297,596/207, numerators are 675,596
Denominators are 297,207
The GCF of 675,596 is 1 .
LCM of 297,207 is 6831.
The greatest common factor of 675/297,596/207 = [GCF of 675,596]/[LCM of 297,207]= 1/6831
Therefore, the GCF of 675/297,596/207 is 1/6831.
To find the highest common factor of 675,596, we have to find the factors of both numbers and list the highest common factor.
The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
The factors of 596 are 1, 2, 4, 149, 298, 596
The HCF of 675,596 is 1.
Lets's calculate GCF of 675,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 675,596 By Matching Biggest Common Factor Method
Now, list down the factors of 675
:1,3,5,9,15,25,27,45,75,135,225,675
Now, list down the factors of 596
:1,2,4,149,298,596
Greatest Common Factor
We found the factors 675,596 . The biggest common factor number is the GCF number.
So the greatest common factor 675,596 is 1.
Lets's calculate LCM of 297,207
| 3 | 297, 207 |
| 3 | 99, 69 |
| 33, 23 |
∴ So the LCM of the given numbers is 3 x 3 x 33 x 23 = 6831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6831
Therefore, the GCF of Fractions 675/297,596/207 is 1/6831
Least Common Multiple of 297,207 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 297,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,207) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(297,207) x common factors =9 x 1 = 9
LCM(297,207) = ( 297 × 207 ) / 9
LCM(297,207) = 61479 / 9
LCM(297,207) = 6831
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FAQs on GCF of Fractions of 675/297, 596/207
1. What is the HCF of 675,596?
The HCF of 675,596 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 675/297, 596/207?
Answer: GCF of Numerators as per given numbers 675/297, 596/207 is
GCF of Numerators i.e. for 675,596 is 1
LCM of denominators i.e. for 297,207 is 6831.
Thus, GCF of Fractions is 1/6831.Finally, GCF of Fractions for 675/297, 596/207 is 1/6831.