GCF of 3565/309, 1781/4462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3565/309, 1781/4462 i.e 1/1378758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3565/309, 1781/4462.
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 3565/309,1781/4462?
Given fractions are 3565/309,1781/4462
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 3565/309,1781/4462, numerators are 3565,1781
Denominators are 309,4462
The GCF of 3565,1781 is 1 .
LCM of 309,4462 is 1378758.
The greatest common factor of 3565/309,1781/4462 = [GCF of 3565,1781]/[LCM of 309,4462]= 1/1378758
Therefore, the GCF of 3565/309,1781/4462 is 1/1378758.
To find the highest common factor of 3565,1781, we have to find the factors of both numbers and list the highest common factor.
The factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565
The factors of 1781 are 1, 13, 137, 1781
The HCF of 3565,1781 is 1.
Lets's calculate GCF of 3565,1781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3565,1781 By Matching Biggest Common Factor Method
Now, list down the factors of 3565
:1,5,23,31,115,155,713,3565
Now, list down the factors of 1781
:1,13,137,1781
Greatest Common Factor
We found the factors 3565,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 3565,1781 is 1.
Lets's calculate LCM of 309,4462
Given numbers has no common factors except 1. So, there LCM is their product i.e 1378758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1378758
Therefore, the GCF of Fractions 3565/309,1781/4462 is 1/1378758
Least Common Multiple of 309,4462 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 309,4462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,4462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,4462) x common factors =1 x 1 = 1
LCM(309,4462) = ( 309 × 4462 ) / 1
LCM(309,4462) = 1378758 / 1
LCM(309,4462) = 1378758
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FAQs on GCF of Fractions of 3565/309, 1781/4462
1. What is the HCF of 3565,1781?
The HCF of 3565,1781 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 3565/309, 1781/4462?
Answer: GCF of Numerators as per given numbers 3565/309, 1781/4462 is
GCF of Numerators i.e. for 3565,1781 is 1
LCM of denominators i.e. for 309,4462 is 1378758.
Thus, GCF of Fractions is 1/1378758.Finally, GCF of Fractions for 3565/309, 1781/4462 is 1/1378758.