GCF of 6805/749, 1837/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6805/749, 1837/145 i.e 1/108605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6805/749, 1837/145.
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 6805/749,1837/145?
Given fractions are 6805/749,1837/145
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 6805/749,1837/145, numerators are 6805,1837
Denominators are 749,145
The GCF of 6805,1837 is 1 .
LCM of 749,145 is 108605.
The greatest common factor of 6805/749,1837/145 = [GCF of 6805,1837]/[LCM of 749,145]= 1/108605
Therefore, the GCF of 6805/749,1837/145 is 1/108605.
To find the highest common factor of 6805,1837, we have to find the factors of both numbers and list the highest common factor.
The factors of 6805 are 1, 5, 1361, 6805
The factors of 1837 are 1, 11, 167, 1837
The HCF of 6805,1837 is 1.
Lets's calculate GCF of 6805,1837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6805,1837 By Matching Biggest Common Factor Method
Now, list down the factors of 6805
:1,5,1361,6805
Now, list down the factors of 1837
:1,11,167,1837
Greatest Common Factor
We found the factors 6805,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,1837 is 1.
Lets's calculate LCM of 749,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 108605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108605
Therefore, the GCF of Fractions 6805/749,1837/145 is 1/108605
Least Common Multiple of 749,145 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 749,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,145) x common factors =1 x 1 = 1
LCM(749,145) = ( 749 × 145 ) / 1
LCM(749,145) = 108605 / 1
LCM(749,145) = 108605
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6805/749, 1837/145
1. What is the HCF of 6805,1837?
The HCF of 6805,1837 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 6805/749, 1837/145?
Answer: GCF of Numerators as per given numbers 6805/749, 1837/145 is
GCF of Numerators i.e. for 6805,1837 is 1
LCM of denominators i.e. for 749,145 is 108605.
Thus, GCF of Fractions is 1/108605.Finally, GCF of Fractions for 6805/749, 1837/145 is 1/108605.