GCF of 813/175, 774/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/175, 774/396 i.e 3/69300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/175, 774/396.
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 813/175,774/396?
Given fractions are 813/175,774/396
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 813/175,774/396, numerators are 813,774
Denominators are 175,396
The GCF of 813,774 is 3 .
LCM of 175,396 is 69300.
The greatest common factor of 813/175,774/396 = [GCF of 813,774]/[LCM of 175,396]= 3/69300
Therefore, the GCF of 813/175,774/396 is 3/69300.
To find the highest common factor of 813,774, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
The HCF of 813,774 is 3.
Lets's calculate GCF of 813,774
| 3 | 813, 774 |
| 271, 258 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 813,774 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 774
:1,2,3,6,9,18,43,86,129,258,387,774
Greatest Common Factor
We found the factors 813,774 . The biggest common factor number is the GCF number.
So the greatest common factor 813,774 is 3.
Lets's calculate LCM of 175,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 69300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69300
Therefore, the GCF of Fractions 813/175,774/396 is 3/69300
Least Common Multiple of 175,396 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 175,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,396) x common factors =1 x 1 = 1
LCM(175,396) = ( 175 × 396 ) / 1
LCM(175,396) = 69300 / 1
LCM(175,396) = 69300
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FAQs on GCF of Fractions of 813/175, 774/396
1. What is the HCF of 813,774?
The HCF of 813,774 is 3
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 813/175, 774/396?
Answer: GCF of Numerators as per given numbers 813/175, 774/396 is
GCF of Numerators i.e. for 813,774 is 3
LCM of denominators i.e. for 175,396 is 69300.
Thus, GCF of Fractions is 3/69300.Finally, GCF of Fractions for 813/175, 774/396 is 3/69300.