GCF of 813/403, 170/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/403, 170/435 i.e 1/175305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/403, 170/435.
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 813/403,170/435?
Given fractions are 813/403,170/435
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 813/403,170/435, numerators are 813,170
Denominators are 403,435
The GCF of 813,170 is 1 .
LCM of 403,435 is 175305.
The greatest common factor of 813/403,170/435 = [GCF of 813,170]/[LCM of 403,435]= 1/175305
Therefore, the GCF of 813/403,170/435 is 1/175305.
To find the highest common factor of 813,170, 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 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 813,170 is 1.
Lets's calculate GCF of 813,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 813,170 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 813,170 . The biggest common factor number is the GCF number.
So the greatest common factor 813,170 is 1.
Lets's calculate LCM of 403,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 175305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175305
Therefore, the GCF of Fractions 813/403,170/435 is 1/175305
Least Common Multiple of 403,435 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 403,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,435) x common factors =1 x 1 = 1
LCM(403,435) = ( 403 × 435 ) / 1
LCM(403,435) = 175305 / 1
LCM(403,435) = 175305
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FAQs on GCF of Fractions of 813/403, 170/435
1. What is the HCF of 813,170?
The HCF of 813,170 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 813/403, 170/435?
Answer: GCF of Numerators as per given numbers 813/403, 170/435 is
GCF of Numerators i.e. for 813,170 is 1
LCM of denominators i.e. for 403,435 is 175305.
Thus, GCF of Fractions is 1/175305.Finally, GCF of Fractions for 813/403, 170/435 is 1/175305.