GCF of 18/44, 316/14, 530/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/44, 316/14, 530/536 i.e 2/41272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/44, 316/14, 530/536.
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 18/44,316/14,530/536?
Given fractions are 18/44,316/14,530/536
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 18/44,316/14,530/536, numerators are 18,316,530
Denominators are 44,14,536
The GCF of 18,316,530 is 2 .
LCM of 44,14,536 is 41272.
The greatest common factor of 18/44,316/14,530/536 = [GCF of 18,316,530]/[LCM of 44,14,536]= 2/41272
Therefore, the GCF of 18/44,316/14,530/536 is 2/41272.
To find the highest common factor of 18,316,530, 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 316 are 1, 2, 4, 79, 158, 316
The factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530
The HCF of 18,316,530 is 2.
Lets's calculate GCF of 18,316,530
| 2 | 18, 316, 530 |
| 9, 158, 265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 18,316,530 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 316
:1,2,4,79,158,316
Now, list down the factors of 530
:1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 18,316,530 . The biggest common factor number is the GCF number.
So the greatest common factor 18,316,530 is 2.
Lets's calculate LCM of 44,14,536
| 2 | 44, 14, 536 |
| 2 | 22, 7, 268 |
| 11, 7, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 7 x 134 = 41272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41272
Therefore, the GCF of Fractions 18/44,316/14,530/536 is 2/41272
Least Common Multiple of 44,14,536 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 44,14,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,14,536) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(44,14,536) x common factors =2 x 4 = 8
LCM(44,14,536) = ( 44 × 14 × 536 ) / 8
LCM(44,14,536) = 330176 / 8
LCM(44,14,536) = 41272
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 18/44, 316/14, 530/536
1. What is the HCF of 18,316,530?
The HCF of 18,316,530 is 2
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 18/44, 316/14, 530/536?
Answer: GCF of Numerators as per given numbers 18/44, 316/14, 530/536 is
GCF of Numerators i.e. for 18,316,530 is 2
LCM of denominators i.e. for 44,14,536 is 41272.
Thus, GCF of Fractions is 2/41272.Finally, GCF of Fractions for 18/44, 316/14, 530/536 is 2/41272.