GCF of 18/89, 113/26, 265/596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/89, 113/26, 265/596 i.e 1/689572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/89, 113/26, 265/596.
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 18/89,113/26,265/596?
Given fractions are 18/89,113/26,265/596
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 18/89,113/26,265/596, numerators are 18,113,265
Denominators are 89,26,596
The GCF of 18,113,265 is 1 .
LCM of 89,26,596 is 689572.
The greatest common factor of 18/89,113/26,265/596 = [GCF of 18,113,265]/[LCM of 89,26,596]= 1/689572
Therefore, the GCF of 18/89,113/26,265/596 is 1/689572.
To find the highest common factor of 18,113,265, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 113 are 1, 113
The factors of 265 are 1, 5, 53, 265
The HCF of 18,113,265 is 1.
Lets's calculate GCF of 18,113,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,113,265 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 113
:1,113
Now, list down the factors of 265
:1,5,53,265
Greatest Common Factor
We found the factors 18,113,265 . The biggest common factor number is the GCF number.
So the greatest common factor 18,113,265 is 1.
Lets's calculate LCM of 89,26,596
| 2 | 89, 26, 596 |
| 89, 13, 298 |
∴ So the LCM of the given numbers is 2 x 89 x 13 x 298 = 689572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689572
Therefore, the GCF of Fractions 18/89,113/26,265/596 is 1/689572
Least Common Multiple of 89,26,596 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 89,26,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,26,596) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,26,596) x common factors =1 x 2 = 2
LCM(89,26,596) = ( 89 × 26 × 596 ) / 2
LCM(89,26,596) = 1379144 / 2
LCM(89,26,596) = 689572
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 18/89, 113/26, 265/596
1. What is the HCF of 18,113,265?
The HCF of 18,113,265 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 18/89, 113/26, 265/596?
Answer: GCF of Numerators as per given numbers 18/89, 113/26, 265/596 is
GCF of Numerators i.e. for 18,113,265 is 1
LCM of denominators i.e. for 89,26,596 is 689572.
Thus, GCF of Fractions is 1/689572.Finally, GCF of Fractions for 18/89, 113/26, 265/596 is 1/689572.