GCF of 197/298, 2561/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/298, 2561/865 i.e 197/257770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/298, 2561/865.
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 197/298,2561/865?
Given fractions are 197/298,2561/865
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 197/298,2561/865, numerators are 197,2561
Denominators are 298,865
The GCF of 197,2561 is 197 .
LCM of 298,865 is 257770.
The greatest common factor of 197/298,2561/865 = [GCF of 197,2561]/[LCM of 298,865]= 197/257770
Therefore, the GCF of 197/298,2561/865 is 197/257770.
To find the highest common factor of 197,2561, 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 2561 are 1, 13, 197, 2561
The HCF of 197,2561 is 197.
Lets's calculate GCF of 197,2561
| 197 | 197, 2561 |
| 1, 13 |
∴ So the GCF of the given numbers is 197 = 197
Greatest Common Factor of 197,2561 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 2561
:1,13,197,2561
Greatest Common Factor
We found the factors 197,2561 . The biggest common factor number is the GCF number.
So the greatest common factor 197,2561 is 197.
Lets's calculate LCM of 298,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 257770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 197/257770
Therefore, the GCF of Fractions 197/298,2561/865 is 197/257770
Least Common Multiple of 298,865 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 298,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,865) x common factors =1 x 1 = 1
LCM(298,865) = ( 298 × 865 ) / 1
LCM(298,865) = 257770 / 1
LCM(298,865) = 257770
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 197/298, 2561/865
1. What is the HCF of 197,2561?
The HCF of 197,2561 is 197
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 197/298, 2561/865?
Answer: GCF of Numerators as per given numbers 197/298, 2561/865 is
GCF of Numerators i.e. for 197,2561 is 197
LCM of denominators i.e. for 298,865 is 257770.
Thus, GCF of Fractions is 197/257770.Finally, GCF of Fractions for 197/298, 2561/865 is 197/257770.