GCF of 2355/262, 2122/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2355/262, 2122/197 i.e 1/51614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2355/262, 2122/197.
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 2355/262,2122/197?
Given fractions are 2355/262,2122/197
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 2355/262,2122/197, numerators are 2355,2122
Denominators are 262,197
The GCF of 2355,2122 is 1 .
LCM of 262,197 is 51614.
The greatest common factor of 2355/262,2122/197 = [GCF of 2355,2122]/[LCM of 262,197]= 1/51614
Therefore, the GCF of 2355/262,2122/197 is 1/51614.
To find the highest common factor of 2355,2122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355
The factors of 2122 are 1, 2, 1061, 2122
The HCF of 2355,2122 is 1.
Lets's calculate GCF of 2355,2122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2355,2122 By Matching Biggest Common Factor Method
Now, list down the factors of 2355
:1,3,5,15,157,471,785,2355
Now, list down the factors of 2122
:1,2,1061,2122
Greatest Common Factor
We found the factors 2355,2122 . The biggest common factor number is the GCF number.
So the greatest common factor 2355,2122 is 1.
Lets's calculate LCM of 262,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 51614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51614
Therefore, the GCF of Fractions 2355/262,2122/197 is 1/51614
Least Common Multiple of 262,197 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 262,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,197) x common factors =1 x 1 = 1
LCM(262,197) = ( 262 × 197 ) / 1
LCM(262,197) = 51614 / 1
LCM(262,197) = 51614
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FAQs on GCF of Fractions of 2355/262, 2122/197
1. What is the HCF of 2355,2122?
The HCF of 2355,2122 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 2355/262, 2122/197?
Answer: GCF of Numerators as per given numbers 2355/262, 2122/197 is
GCF of Numerators i.e. for 2355,2122 is 1
LCM of denominators i.e. for 262,197 is 51614.
Thus, GCF of Fractions is 1/51614.Finally, GCF of Fractions for 2355/262, 2122/197 is 1/51614.