GCF of 3213/100, 8537/2377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3213/100, 8537/2377 i.e 1/237700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3213/100, 8537/2377.
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 3213/100,8537/2377?
Given fractions are 3213/100,8537/2377
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 3213/100,8537/2377, numerators are 3213,8537
Denominators are 100,2377
The GCF of 3213,8537 is 1 .
LCM of 100,2377 is 237700.
The greatest common factor of 3213/100,8537/2377 = [GCF of 3213,8537]/[LCM of 100,2377]= 1/237700
Therefore, the GCF of 3213/100,8537/2377 is 1/237700.
To find the highest common factor of 3213,8537, we have to find the factors of both numbers and list the highest common factor.
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The factors of 8537 are 1, 8537
The HCF of 3213,8537 is 1.
Lets's calculate GCF of 3213,8537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3213,8537 By Matching Biggest Common Factor Method
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Now, list down the factors of 8537
:1,8537
Greatest Common Factor
We found the factors 3213,8537 . The biggest common factor number is the GCF number.
So the greatest common factor 3213,8537 is 1.
Lets's calculate LCM of 100,2377
Given numbers has no common factors except 1. So, there LCM is their product i.e 237700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237700
Therefore, the GCF of Fractions 3213/100,8537/2377 is 1/237700
Least Common Multiple of 100,2377 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 100,2377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,2377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,2377) x common factors =1 x 1 = 1
LCM(100,2377) = ( 100 × 2377 ) / 1
LCM(100,2377) = 237700 / 1
LCM(100,2377) = 237700
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FAQs on GCF of Fractions of 3213/100, 8537/2377
1. What is the HCF of 3213,8537?
The HCF of 3213,8537 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 3213/100, 8537/2377?
Answer: GCF of Numerators as per given numbers 3213/100, 8537/2377 is
GCF of Numerators i.e. for 3213,8537 is 1
LCM of denominators i.e. for 100,2377 is 237700.
Thus, GCF of Fractions is 1/237700.Finally, GCF of Fractions for 3213/100, 8537/2377 is 1/237700.