GCF of 18/469, 86/548, 646/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/469, 86/548, 646/467 i.e 2/120024604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/469, 86/548, 646/467.
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 18/469,86/548,646/467?
Given fractions are 18/469,86/548,646/467
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 18/469,86/548,646/467, numerators are 18,86,646
Denominators are 469,548,467
The GCF of 18,86,646 is 2 .
LCM of 469,548,467 is 120024604.
The greatest common factor of 18/469,86/548,646/467 = [GCF of 18,86,646]/[LCM of 469,548,467]= 2/120024604
Therefore, the GCF of 18/469,86/548,646/467 is 2/120024604.
To find the highest common factor of 18,86,646, 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 86 are 1, 2, 43, 86
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The HCF of 18,86,646 is 2.
Lets's calculate GCF of 18,86,646
| 2 | 18, 86, 646 |
| 9, 43, 323 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 18,86,646 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 86
:1,2,43,86
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 18,86,646 . The biggest common factor number is the GCF number.
So the greatest common factor 18,86,646 is 2.
Lets's calculate LCM of 469,548,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 120024604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120024604
Therefore, the GCF of Fractions 18/469,86/548,646/467 is 2/120024604
Least Common Multiple of 469,548,467 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 469,548,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,548,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,548,467) x common factors =1 x 1 = 1
LCM(469,548,467) = ( 469 × 548 × 467 ) / 1
LCM(469,548,467) = 120024604 / 1
LCM(469,548,467) = 120024604
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 18/469, 86/548, 646/467
1. What is the HCF of 18,86,646?
The HCF of 18,86,646 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 18/469, 86/548, 646/467?
Answer: GCF of Numerators as per given numbers 18/469, 86/548, 646/467 is
GCF of Numerators i.e. for 18,86,646 is 2
LCM of denominators i.e. for 469,548,467 is 120024604.
Thus, GCF of Fractions is 2/120024604.Finally, GCF of Fractions for 18/469, 86/548, 646/467 is 2/120024604.