GCF of 1470/345, 1144/2511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1470/345, 1144/2511 i.e 2/288765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1470/345, 1144/2511.
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 1470/345,1144/2511?
Given fractions are 1470/345,1144/2511
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 1470/345,1144/2511, numerators are 1470,1144
Denominators are 345,2511
The GCF of 1470,1144 is 2 .
LCM of 345,2511 is 288765.
The greatest common factor of 1470/345,1144/2511 = [GCF of 1470,1144]/[LCM of 345,2511]= 2/288765
Therefore, the GCF of 1470/345,1144/2511 is 2/288765.
To find the highest common factor of 1470,1144, we have to find the factors of both numbers and list the highest common factor.
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
The HCF of 1470,1144 is 2.
Lets's calculate GCF of 1470,1144
| 2 | 1470, 1144 |
| 735, 572 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1470,1144 By Matching Biggest Common Factor Method
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Now, list down the factors of 1144
:1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144
Greatest Common Factor
We found the factors 1470,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 1470,1144 is 2.
Lets's calculate LCM of 345,2511
| 3 | 345, 2511 |
| 115, 837 |
∴ So the LCM of the given numbers is 3 x 115 x 837 = 288765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288765
Therefore, the GCF of Fractions 1470/345,1144/2511 is 2/288765
Least Common Multiple of 345,2511 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 345,2511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,2511) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,2511) x common factors =3 x 1 = 3
LCM(345,2511) = ( 345 × 2511 ) / 3
LCM(345,2511) = 866295 / 3
LCM(345,2511) = 288765
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FAQs on GCF of Fractions of 1470/345, 1144/2511
1. What is the HCF of 1470,1144?
The HCF of 1470,1144 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 1470/345, 1144/2511?
Answer: GCF of Numerators as per given numbers 1470/345, 1144/2511 is
GCF of Numerators i.e. for 1470,1144 is 2
LCM of denominators i.e. for 345,2511 is 288765.
Thus, GCF of Fractions is 2/288765.Finally, GCF of Fractions for 1470/345, 1144/2511 is 2/288765.