GCF of 326/741, 207/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 326/741, 207/789 i.e 1/194883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/741, 207/789.
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 326/741,207/789?
Given fractions are 326/741,207/789
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 326/741,207/789, numerators are 326,207
Denominators are 741,789
The GCF of 326,207 is 1 .
LCM of 741,789 is 194883.
The greatest common factor of 326/741,207/789 = [GCF of 326,207]/[LCM of 741,789]= 1/194883
Therefore, the GCF of 326/741,207/789 is 1/194883.
To find the highest common factor of 326,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 326,207 is 1.
Lets's calculate GCF of 326,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 326,207 By Matching Biggest Common Factor Method
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 326,207 . The biggest common factor number is the GCF number.
So the greatest common factor 326,207 is 1.
Lets's calculate LCM of 741,789
| 3 | 741, 789 |
| 247, 263 |
∴ So the LCM of the given numbers is 3 x 247 x 263 = 194883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194883
Therefore, the GCF of Fractions 326/741,207/789 is 1/194883
Least Common Multiple of 741,789 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 741,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(741,789) x common factors =3 x 1 = 3
LCM(741,789) = ( 741 × 789 ) / 3
LCM(741,789) = 584649 / 3
LCM(741,789) = 194883
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FAQs on GCF of Fractions of 326/741, 207/789
1. What is the HCF of 326,207?
The HCF of 326,207 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 326/741, 207/789?
Answer: GCF of Numerators as per given numbers 326/741, 207/789 is
GCF of Numerators i.e. for 326,207 is 1
LCM of denominators i.e. for 741,789 is 194883.
Thus, GCF of Fractions is 1/194883.Finally, GCF of Fractions for 326/741, 207/789 is 1/194883.