GCF of 1201/785, 1755/5838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1201/785, 1755/5838 i.e 1/4582830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1201/785, 1755/5838.
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 1201/785,1755/5838?
Given fractions are 1201/785,1755/5838
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 1201/785,1755/5838, numerators are 1201,1755
Denominators are 785,5838
The GCF of 1201,1755 is 1 .
LCM of 785,5838 is 4582830.
The greatest common factor of 1201/785,1755/5838 = [GCF of 1201,1755]/[LCM of 785,5838]= 1/4582830
Therefore, the GCF of 1201/785,1755/5838 is 1/4582830.
To find the highest common factor of 1201,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 1201 are 1, 1201
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 1201,1755 is 1.
Lets's calculate GCF of 1201,1755
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1201,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 1201
:1,1201
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 1201,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 1201,1755 is 1.
Lets's calculate LCM of 785,5838
Given numbers has no common factors except 1. So, there LCM is their product i.e 4582830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4582830
Therefore, the GCF of Fractions 1201/785,1755/5838 is 1/4582830
Least Common Multiple of 785,5838 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 785,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,5838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,5838) x common factors =1 x 1 = 1
LCM(785,5838) = ( 785 × 5838 ) / 1
LCM(785,5838) = 4582830 / 1
LCM(785,5838) = 4582830
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FAQs on GCF of Fractions of 1201/785, 1755/5838
1. What is the HCF of 1201,1755?
The HCF of 1201,1755 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 1201/785, 1755/5838?
Answer: GCF of Numerators as per given numbers 1201/785, 1755/5838 is
GCF of Numerators i.e. for 1201,1755 is 1
LCM of denominators i.e. for 785,5838 is 4582830.
Thus, GCF of Fractions is 1/4582830.Finally, GCF of Fractions for 1201/785, 1755/5838 is 1/4582830.