GCF of 2455/610, 1611/8202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2455/610, 1611/8202 i.e 1/2501610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2455/610, 1611/8202.
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 2455/610,1611/8202?
Given fractions are 2455/610,1611/8202
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 2455/610,1611/8202, numerators are 2455,1611
Denominators are 610,8202
The GCF of 2455,1611 is 1 .
LCM of 610,8202 is 2501610.
The greatest common factor of 2455/610,1611/8202 = [GCF of 2455,1611]/[LCM of 610,8202]= 1/2501610
Therefore, the GCF of 2455/610,1611/8202 is 1/2501610.
To find the highest common factor of 2455,1611, we have to find the factors of both numbers and list the highest common factor.
The factors of 2455 are 1, 5, 491, 2455
The factors of 1611 are 1, 3, 9, 179, 537, 1611
The HCF of 2455,1611 is 1.
Lets's calculate GCF of 2455,1611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2455,1611 By Matching Biggest Common Factor Method
Now, list down the factors of 2455
:1,5,491,2455
Now, list down the factors of 1611
:1,3,9,179,537,1611
Greatest Common Factor
We found the factors 2455,1611 . The biggest common factor number is the GCF number.
So the greatest common factor 2455,1611 is 1.
Lets's calculate LCM of 610,8202
| 2 | 610, 8202 |
| 305, 4101 |
∴ So the LCM of the given numbers is 2 x 305 x 4101 = 2501610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2501610
Therefore, the GCF of Fractions 2455/610,1611/8202 is 1/2501610
Least Common Multiple of 610,8202 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 610,8202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,8202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(610,8202) x common factors =2 x 1 = 2
LCM(610,8202) = ( 610 × 8202 ) / 2
LCM(610,8202) = 5003220 / 2
LCM(610,8202) = 2501610
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2455/610, 1611/8202
1. What is the HCF of 2455,1611?
The HCF of 2455,1611 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 2455/610, 1611/8202?
Answer: GCF of Numerators as per given numbers 2455/610, 1611/8202 is
GCF of Numerators i.e. for 2455,1611 is 1
LCM of denominators i.e. for 610,8202 is 2501610.
Thus, GCF of Fractions is 1/2501610.Finally, GCF of Fractions for 2455/610, 1611/8202 is 1/2501610.