GCF of 9957/170, 1813/9228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9957/170, 1813/9228 i.e 1/784380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9957/170, 1813/9228.
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 9957/170,1813/9228?
Given fractions are 9957/170,1813/9228
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 9957/170,1813/9228, numerators are 9957,1813
Denominators are 170,9228
The GCF of 9957,1813 is 1 .
LCM of 170,9228 is 784380.
The greatest common factor of 9957/170,1813/9228 = [GCF of 9957,1813]/[LCM of 170,9228]= 1/784380
Therefore, the GCF of 9957/170,1813/9228 is 1/784380.
To find the highest common factor of 9957,1813, we have to find the factors of both numbers and list the highest common factor.
The factors of 9957 are 1, 3, 3319, 9957
The factors of 1813 are 1, 7, 37, 49, 259, 1813
The HCF of 9957,1813 is 1.
Lets's calculate GCF of 9957,1813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9957,1813 By Matching Biggest Common Factor Method
Now, list down the factors of 9957
:1,3,3319,9957
Now, list down the factors of 1813
:1,7,37,49,259,1813
Greatest Common Factor
We found the factors 9957,1813 . The biggest common factor number is the GCF number.
So the greatest common factor 9957,1813 is 1.
Lets's calculate LCM of 170,9228
| 2 | 170, 9228 |
| 85, 4614 |
∴ So the LCM of the given numbers is 2 x 85 x 4614 = 784380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784380
Therefore, the GCF of Fractions 9957/170,1813/9228 is 1/784380
Least Common Multiple of 170,9228 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 170,9228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,9228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,9228) x common factors =2 x 1 = 2
LCM(170,9228) = ( 170 × 9228 ) / 2
LCM(170,9228) = 1568760 / 2
LCM(170,9228) = 784380
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9957/170, 1813/9228
1. What is the HCF of 9957,1813?
The HCF of 9957,1813 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 9957/170, 1813/9228?
Answer: GCF of Numerators as per given numbers 9957/170, 1813/9228 is
GCF of Numerators i.e. for 9957,1813 is 1
LCM of denominators i.e. for 170,9228 is 784380.
Thus, GCF of Fractions is 1/784380.Finally, GCF of Fractions for 9957/170, 1813/9228 is 1/784380.