GCF of 249/30, 805/39, 789/30
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 249/30, 805/39, 789/30 i.e 1/390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 249/30, 805/39, 789/30.
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 249/30,805/39,789/30?
Given fractions are 249/30,805/39,789/30
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 249/30,805/39,789/30, numerators are 249,805,789
Denominators are 30,39,30
The GCF of 249,805,789 is 1 .
LCM of 30,39,30 is 390.
The greatest common factor of 249/30,805/39,789/30 = [GCF of 249,805,789]/[LCM of 30,39,30]= 1/390
Therefore, the GCF of 249/30,805/39,789/30 is 1/390.
To find the highest common factor of 249,805,789, we have to find the factors of both numbers and list the highest common factor.
The factors of 249 are 1, 3, 83, 249
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 789 are 1, 3, 263, 789
The HCF of 249,805,789 is 1.
Lets's calculate GCF of 249,805,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 249,805,789 By Matching Biggest Common Factor Method
Now, list down the factors of 249
:1,3,83,249
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 789
:1,3,263,789
Greatest Common Factor
We found the factors 249,805,789 . The biggest common factor number is the GCF number.
So the greatest common factor 249,805,789 is 1.
Lets's calculate LCM of 30,39,30
| 2 | 30, 39, 30 |
| 3 | 15, 39, 15 |
| 5 | 5, 13, 5 |
| 1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 13 x 1 = 390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390
Therefore, the GCF of Fractions 249/30,805/39,789/30 is 1/390
Least Common Multiple of 30,39,30 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 30,39,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,39,30) = 3
common factors(in case of two or more numbers have common factors) = 30
GCF(30,39,30) x common factors =3 x 30 = 90
LCM(30,39,30) = ( 30 × 39 × 30 ) / 90
LCM(30,39,30) = 35100 / 90
LCM(30,39,30) = 390
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FAQs on GCF of Fractions of 249/30, 805/39, 789/30
1. What is the HCF of 249,805,789?
The HCF of 249,805,789 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 249/30, 805/39, 789/30?
Answer: GCF of Numerators as per given numbers 249/30, 805/39, 789/30 is
GCF of Numerators i.e. for 249,805,789 is 1
LCM of denominators i.e. for 30,39,30 is 390.
Thus, GCF of Fractions is 1/390.Finally, GCF of Fractions for 249/30, 805/39, 789/30 is 1/390.