GCF of 813/202, 634/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/202, 634/693 i.e 1/139986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/202, 634/693.
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 813/202,634/693?
Given fractions are 813/202,634/693
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 813/202,634/693, numerators are 813,634
Denominators are 202,693
The GCF of 813,634 is 1 .
LCM of 202,693 is 139986.
The greatest common factor of 813/202,634/693 = [GCF of 813,634]/[LCM of 202,693]= 1/139986
Therefore, the GCF of 813/202,634/693 is 1/139986.
To find the highest common factor of 813,634, 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 634 are 1, 2, 317, 634
The HCF of 813,634 is 1.
Lets's calculate GCF of 813,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 813,634 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 813,634 . The biggest common factor number is the GCF number.
So the greatest common factor 813,634 is 1.
Lets's calculate LCM of 202,693
Given numbers has no common factors except 1. So, there LCM is their product i.e 139986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139986
Therefore, the GCF of Fractions 813/202,634/693 is 1/139986
Least Common Multiple of 202,693 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 202,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,693) x common factors =1 x 1 = 1
LCM(202,693) = ( 202 × 693 ) / 1
LCM(202,693) = 139986 / 1
LCM(202,693) = 139986
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 813/202, 634/693
1. What is the HCF of 813,634?
The HCF of 813,634 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 813/202, 634/693?
Answer: GCF of Numerators as per given numbers 813/202, 634/693 is
GCF of Numerators i.e. for 813,634 is 1
LCM of denominators i.e. for 202,693 is 139986.
Thus, GCF of Fractions is 1/139986.Finally, GCF of Fractions for 813/202, 634/693 is 1/139986.