GCF of 1103/187, 3708/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1103/187, 3708/727 i.e 1/135949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1103/187, 3708/727.
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 1103/187,3708/727?
Given fractions are 1103/187,3708/727
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 1103/187,3708/727, numerators are 1103,3708
Denominators are 187,727
The GCF of 1103,3708 is 1 .
LCM of 187,727 is 135949.
The greatest common factor of 1103/187,3708/727 = [GCF of 1103,3708]/[LCM of 187,727]= 1/135949
Therefore, the GCF of 1103/187,3708/727 is 1/135949.
To find the highest common factor of 1103,3708, we have to find the factors of both numbers and list the highest common factor.
The factors of 1103 are 1, 1103
The factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708
The HCF of 1103,3708 is 1.
Lets's calculate GCF of 1103,3708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1103,3708 By Matching Biggest Common Factor Method
Now, list down the factors of 1103
:1,1103
Now, list down the factors of 3708
:1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708
Greatest Common Factor
We found the factors 1103,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 1103,3708 is 1.
Lets's calculate LCM of 187,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 135949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135949
Therefore, the GCF of Fractions 1103/187,3708/727 is 1/135949
Least Common Multiple of 187,727 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 187,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,727) x common factors =1 x 1 = 1
LCM(187,727) = ( 187 × 727 ) / 1
LCM(187,727) = 135949 / 1
LCM(187,727) = 135949
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FAQs on GCF of Fractions of 1103/187, 3708/727
1. What is the HCF of 1103,3708?
The HCF of 1103,3708 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 1103/187, 3708/727?
Answer: GCF of Numerators as per given numbers 1103/187, 3708/727 is
GCF of Numerators i.e. for 1103,3708 is 1
LCM of denominators i.e. for 187,727 is 135949.
Thus, GCF of Fractions is 1/135949.Finally, GCF of Fractions for 1103/187, 3708/727 is 1/135949.