GCF of 206/745, 1915/3437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 206/745, 1915/3437 i.e 1/2560565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/745, 1915/3437.
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 206/745,1915/3437?
Given fractions are 206/745,1915/3437
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 206/745,1915/3437, numerators are 206,1915
Denominators are 745,3437
The GCF of 206,1915 is 1 .
LCM of 745,3437 is 2560565.
The greatest common factor of 206/745,1915/3437 = [GCF of 206,1915]/[LCM of 745,3437]= 1/2560565
Therefore, the GCF of 206/745,1915/3437 is 1/2560565.
To find the highest common factor of 206,1915, we have to find the factors of both numbers and list the highest common factor.
The factors of 206 are 1, 2, 103, 206
The factors of 1915 are 1, 5, 383, 1915
The HCF of 206,1915 is 1.
Lets's calculate GCF of 206,1915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 206,1915 By Matching Biggest Common Factor Method
Now, list down the factors of 206
:1,2,103,206
Now, list down the factors of 1915
:1,5,383,1915
Greatest Common Factor
We found the factors 206,1915 . The biggest common factor number is the GCF number.
So the greatest common factor 206,1915 is 1.
Lets's calculate LCM of 745,3437
Given numbers has no common factors except 1. So, there LCM is their product i.e 2560565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2560565
Therefore, the GCF of Fractions 206/745,1915/3437 is 1/2560565
Least Common Multiple of 745,3437 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 745,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,3437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(745,3437) x common factors =1 x 1 = 1
LCM(745,3437) = ( 745 × 3437 ) / 1
LCM(745,3437) = 2560565 / 1
LCM(745,3437) = 2560565
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FAQs on GCF of Fractions of 206/745, 1915/3437
1. What is the HCF of 206,1915?
The HCF of 206,1915 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 206/745, 1915/3437?
Answer: GCF of Numerators as per given numbers 206/745, 1915/3437 is
GCF of Numerators i.e. for 206,1915 is 1
LCM of denominators i.e. for 745,3437 is 2560565.
Thus, GCF of Fractions is 1/2560565.Finally, GCF of Fractions for 206/745, 1915/3437 is 1/2560565.