GCF of 1781/581, 3833/3272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1781/581, 3833/3272 i.e 1/1901032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1781/581, 3833/3272.
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 1781/581,3833/3272?
Given fractions are 1781/581,3833/3272
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 1781/581,3833/3272, numerators are 1781,3833
Denominators are 581,3272
The GCF of 1781,3833 is 1 .
LCM of 581,3272 is 1901032.
The greatest common factor of 1781/581,3833/3272 = [GCF of 1781,3833]/[LCM of 581,3272]= 1/1901032
Therefore, the GCF of 1781/581,3833/3272 is 1/1901032.
To find the highest common factor of 1781,3833, we have to find the factors of both numbers and list the highest common factor.
The factors of 1781 are 1, 13, 137, 1781
The factors of 3833 are 1, 3833
The HCF of 1781,3833 is 1.
Lets's calculate GCF of 1781,3833
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1781,3833 By Matching Biggest Common Factor Method
Now, list down the factors of 1781
:1,13,137,1781
Now, list down the factors of 3833
:1,3833
Greatest Common Factor
We found the factors 1781,3833 . The biggest common factor number is the GCF number.
So the greatest common factor 1781,3833 is 1.
Lets's calculate LCM of 581,3272
Given numbers has no common factors except 1. So, there LCM is their product i.e 1901032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1901032
Therefore, the GCF of Fractions 1781/581,3833/3272 is 1/1901032
Least Common Multiple of 581,3272 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 581,3272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,3272) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,3272) x common factors =1 x 1 = 1
LCM(581,3272) = ( 581 × 3272 ) / 1
LCM(581,3272) = 1901032 / 1
LCM(581,3272) = 1901032
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FAQs on GCF of Fractions of 1781/581, 3833/3272
1. What is the HCF of 1781,3833?
The HCF of 1781,3833 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 1781/581, 3833/3272?
Answer: GCF of Numerators as per given numbers 1781/581, 3833/3272 is
GCF of Numerators i.e. for 1781,3833 is 1
LCM of denominators i.e. for 581,3272 is 1901032.
Thus, GCF of Fractions is 1/1901032.Finally, GCF of Fractions for 1781/581, 3833/3272 is 1/1901032.