GCF of 197/105, 912/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/105, 912/857 i.e 1/89985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/105, 912/857.
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 197/105,912/857?
Given fractions are 197/105,912/857
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 197/105,912/857, numerators are 197,912
Denominators are 105,857
The GCF of 197,912 is 1 .
LCM of 105,857 is 89985.
The greatest common factor of 197/105,912/857 = [GCF of 197,912]/[LCM of 105,857]= 1/89985
Therefore, the GCF of 197/105,912/857 is 1/89985.
To find the highest common factor of 197,912, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The HCF of 197,912 is 1.
Lets's calculate GCF of 197,912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,912 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 197,912 . The biggest common factor number is the GCF number.
So the greatest common factor 197,912 is 1.
Lets's calculate LCM of 105,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 89985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89985
Therefore, the GCF of Fractions 197/105,912/857 is 1/89985
Least Common Multiple of 105,857 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 105,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,857) x common factors =1 x 1 = 1
LCM(105,857) = ( 105 × 857 ) / 1
LCM(105,857) = 89985 / 1
LCM(105,857) = 89985
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 197/105, 912/857
1. What is the HCF of 197,912?
The HCF of 197,912 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 197/105, 912/857?
Answer: GCF of Numerators as per given numbers 197/105, 912/857 is
GCF of Numerators i.e. for 197,912 is 1
LCM of denominators i.e. for 105,857 is 89985.
Thus, GCF of Fractions is 1/89985.Finally, GCF of Fractions for 197/105, 912/857 is 1/89985.