GCF of 1675/818, 7727/4497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1675/818, 7727/4497 i.e 1/3678546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1675/818, 7727/4497.
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 1675/818,7727/4497?
Given fractions are 1675/818,7727/4497
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 1675/818,7727/4497, numerators are 1675,7727
Denominators are 818,4497
The GCF of 1675,7727 is 1 .
LCM of 818,4497 is 3678546.
The greatest common factor of 1675/818,7727/4497 = [GCF of 1675,7727]/[LCM of 818,4497]= 1/3678546
Therefore, the GCF of 1675/818,7727/4497 is 1/3678546.
To find the highest common factor of 1675,7727, we have to find the factors of both numbers and list the highest common factor.
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The factors of 7727 are 1, 7727
The HCF of 1675,7727 is 1.
Lets's calculate GCF of 1675,7727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1675,7727 By Matching Biggest Common Factor Method
Now, list down the factors of 1675
:1,5,25,67,335,1675
Now, list down the factors of 7727
:1,7727
Greatest Common Factor
We found the factors 1675,7727 . The biggest common factor number is the GCF number.
So the greatest common factor 1675,7727 is 1.
Lets's calculate LCM of 818,4497
Given numbers has no common factors except 1. So, there LCM is their product i.e 3678546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3678546
Therefore, the GCF of Fractions 1675/818,7727/4497 is 1/3678546
Least Common Multiple of 818,4497 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 818,4497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,4497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,4497) x common factors =1 x 1 = 1
LCM(818,4497) = ( 818 × 4497 ) / 1
LCM(818,4497) = 3678546 / 1
LCM(818,4497) = 3678546
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1675/818, 7727/4497
1. What is the HCF of 1675,7727?
The HCF of 1675,7727 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 1675/818, 7727/4497?
Answer: GCF of Numerators as per given numbers 1675/818, 7727/4497 is
GCF of Numerators i.e. for 1675,7727 is 1
LCM of denominators i.e. for 818,4497 is 3678546.
Thus, GCF of Fractions is 1/3678546.Finally, GCF of Fractions for 1675/818, 7727/4497 is 1/3678546.