GCF of 2468/473, 1470/3605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2468/473, 1470/3605 i.e 2/1705165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2468/473, 1470/3605.
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 2468/473,1470/3605?
Given fractions are 2468/473,1470/3605
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 2468/473,1470/3605, numerators are 2468,1470
Denominators are 473,3605
The GCF of 2468,1470 is 2 .
LCM of 473,3605 is 1705165.
The greatest common factor of 2468/473,1470/3605 = [GCF of 2468,1470]/[LCM of 473,3605]= 2/1705165
Therefore, the GCF of 2468/473,1470/3605 is 2/1705165.
To find the highest common factor of 2468,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 2468 are 1, 2, 4, 617, 1234, 2468
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 HCF of 2468,1470 is 2.
Lets's calculate GCF of 2468,1470
| 2 | 2468, 1470 |
| 1234, 735 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2468,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 2468
:1,2,4,617,1234,2468
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
Greatest Common Factor
We found the factors 2468,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 2468,1470 is 2.
Lets's calculate LCM of 473,3605
Given numbers has no common factors except 1. So, there LCM is their product i.e 1705165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1705165
Therefore, the GCF of Fractions 2468/473,1470/3605 is 2/1705165
Least Common Multiple of 473,3605 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 473,3605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,3605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,3605) x common factors =1 x 1 = 1
LCM(473,3605) = ( 473 × 3605 ) / 1
LCM(473,3605) = 1705165 / 1
LCM(473,3605) = 1705165
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FAQs on GCF of Fractions of 2468/473, 1470/3605
1. What is the HCF of 2468,1470?
The HCF of 2468,1470 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 2468/473, 1470/3605?
Answer: GCF of Numerators as per given numbers 2468/473, 1470/3605 is
GCF of Numerators i.e. for 2468,1470 is 2
LCM of denominators i.e. for 473,3605 is 1705165.
Thus, GCF of Fractions is 2/1705165.Finally, GCF of Fractions for 2468/473, 1470/3605 is 2/1705165.