GCF of 813/612, 8357/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/612, 8357/652 i.e 1/99756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/612, 8357/652.
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 813/612,8357/652?
Given fractions are 813/612,8357/652
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 813/612,8357/652, numerators are 813,8357
Denominators are 612,652
The GCF of 813,8357 is 1 .
LCM of 612,652 is 99756.
The greatest common factor of 813/612,8357/652 = [GCF of 813,8357]/[LCM of 612,652]= 1/99756
Therefore, the GCF of 813/612,8357/652 is 1/99756.
To find the highest common factor of 813,8357, 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 8357 are 1, 61, 137, 8357
The HCF of 813,8357 is 1.
Lets's calculate GCF of 813,8357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 813,8357 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 8357
:1,61,137,8357
Greatest Common Factor
We found the factors 813,8357 . The biggest common factor number is the GCF number.
So the greatest common factor 813,8357 is 1.
Lets's calculate LCM of 612,652
| 2 | 612, 652 |
| 2 | 306, 326 |
| 153, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 153 x 163 = 99756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99756
Therefore, the GCF of Fractions 813/612,8357/652 is 1/99756
Least Common Multiple of 612,652 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 612,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(612,652) x common factors =4 x 1 = 4
LCM(612,652) = ( 612 × 652 ) / 4
LCM(612,652) = 399024 / 4
LCM(612,652) = 99756
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FAQs on GCF of Fractions of 813/612, 8357/652
1. What is the HCF of 813,8357?
The HCF of 813,8357 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 813/612, 8357/652?
Answer: GCF of Numerators as per given numbers 813/612, 8357/652 is
GCF of Numerators i.e. for 813,8357 is 1
LCM of denominators i.e. for 612,652 is 99756.
Thus, GCF of Fractions is 1/99756.Finally, GCF of Fractions for 813/612, 8357/652 is 1/99756.