GCF of 2319/229, 2790/150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2319/229, 2790/150 i.e 3/34350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2319/229, 2790/150.
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 2319/229,2790/150?
Given fractions are 2319/229,2790/150
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 2319/229,2790/150, numerators are 2319,2790
Denominators are 229,150
The GCF of 2319,2790 is 3 .
LCM of 229,150 is 34350.
The greatest common factor of 2319/229,2790/150 = [GCF of 2319,2790]/[LCM of 229,150]= 3/34350
Therefore, the GCF of 2319/229,2790/150 is 3/34350.
To find the highest common factor of 2319,2790, we have to find the factors of both numbers and list the highest common factor.
The factors of 2319 are 1, 3, 773, 2319
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The HCF of 2319,2790 is 3.
Lets's calculate GCF of 2319,2790
| 3 | 2319, 2790 |
| 773, 930 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2319,2790 By Matching Biggest Common Factor Method
Now, list down the factors of 2319
:1,3,773,2319
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Greatest Common Factor
We found the factors 2319,2790 . The biggest common factor number is the GCF number.
So the greatest common factor 2319,2790 is 3.
Lets's calculate LCM of 229,150
Given numbers has no common factors except 1. So, there LCM is their product i.e 34350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34350
Therefore, the GCF of Fractions 2319/229,2790/150 is 3/34350
Least Common Multiple of 229,150 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 229,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,150) x common factors =1 x 1 = 1
LCM(229,150) = ( 229 × 150 ) / 1
LCM(229,150) = 34350 / 1
LCM(229,150) = 34350
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FAQs on GCF of Fractions of 2319/229, 2790/150
1. What is the HCF of 2319,2790?
The HCF of 2319,2790 is 3
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 2319/229, 2790/150?
Answer: GCF of Numerators as per given numbers 2319/229, 2790/150 is
GCF of Numerators i.e. for 2319,2790 is 3
LCM of denominators i.e. for 229,150 is 34350.
Thus, GCF of Fractions is 3/34350.Finally, GCF of Fractions for 2319/229, 2790/150 is 3/34350.