GCF of 297/155, 9400/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 297/155, 9400/916 i.e 1/141980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/155, 9400/916.
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 297/155,9400/916?
Given fractions are 297/155,9400/916
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 297/155,9400/916, numerators are 297,9400
Denominators are 155,916
The GCF of 297,9400 is 1 .
LCM of 155,916 is 141980.
The greatest common factor of 297/155,9400/916 = [GCF of 297,9400]/[LCM of 155,916]= 1/141980
Therefore, the GCF of 297/155,9400/916 is 1/141980.
To find the highest common factor of 297,9400, we have to find the factors of both numbers and list the highest common factor.
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The factors of 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 297,9400 is 1.
Lets's calculate GCF of 297,9400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 297,9400 By Matching Biggest Common Factor Method
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Now, list down the factors of 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 297,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 297,9400 is 1.
Lets's calculate LCM of 155,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 141980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141980
Therefore, the GCF of Fractions 297/155,9400/916 is 1/141980
Least Common Multiple of 155,916 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 155,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,916) x common factors =1 x 1 = 1
LCM(155,916) = ( 155 × 916 ) / 1
LCM(155,916) = 141980 / 1
LCM(155,916) = 141980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 297/155, 9400/916
1. What is the HCF of 297,9400?
The HCF of 297,9400 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 297/155, 9400/916?
Answer: GCF of Numerators as per given numbers 297/155, 9400/916 is
GCF of Numerators i.e. for 297,9400 is 1
LCM of denominators i.e. for 155,916 is 141980.
Thus, GCF of Fractions is 1/141980.Finally, GCF of Fractions for 297/155, 9400/916 is 1/141980.