GCF of 2097/715, 3662/3231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2097/715, 3662/3231 i.e 1/2310165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2097/715, 3662/3231.
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 2097/715,3662/3231?
Given fractions are 2097/715,3662/3231
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 2097/715,3662/3231, numerators are 2097,3662
Denominators are 715,3231
The GCF of 2097,3662 is 1 .
LCM of 715,3231 is 2310165.
The greatest common factor of 2097/715,3662/3231 = [GCF of 2097,3662]/[LCM of 715,3231]= 1/2310165
Therefore, the GCF of 2097/715,3662/3231 is 1/2310165.
To find the highest common factor of 2097,3662, we have to find the factors of both numbers and list the highest common factor.
The factors of 2097 are 1, 3, 9, 233, 699, 2097
The factors of 3662 are 1, 2, 1831, 3662
The HCF of 2097,3662 is 1.
Lets's calculate GCF of 2097,3662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2097,3662 By Matching Biggest Common Factor Method
Now, list down the factors of 2097
:1,3,9,233,699,2097
Now, list down the factors of 3662
:1,2,1831,3662
Greatest Common Factor
We found the factors 2097,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 2097,3662 is 1.
Lets's calculate LCM of 715,3231
Given numbers has no common factors except 1. So, there LCM is their product i.e 2310165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2310165
Therefore, the GCF of Fractions 2097/715,3662/3231 is 1/2310165
Least Common Multiple of 715,3231 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 715,3231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,3231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,3231) x common factors =1 x 1 = 1
LCM(715,3231) = ( 715 × 3231 ) / 1
LCM(715,3231) = 2310165 / 1
LCM(715,3231) = 2310165
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FAQs on GCF of Fractions of 2097/715, 3662/3231
1. What is the HCF of 2097,3662?
The HCF of 2097,3662 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 2097/715, 3662/3231?
Answer: GCF of Numerators as per given numbers 2097/715, 3662/3231 is
GCF of Numerators i.e. for 2097,3662 is 1
LCM of denominators i.e. for 715,3231 is 2310165.
Thus, GCF of Fractions is 1/2310165.Finally, GCF of Fractions for 2097/715, 3662/3231 is 1/2310165.