GCF of 4890/970, 2310/3452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4890/970, 2310/3452 i.e 30/1674220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4890/970, 2310/3452.
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 4890/970,2310/3452?
Given fractions are 4890/970,2310/3452
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 4890/970,2310/3452, numerators are 4890,2310
Denominators are 970,3452
The GCF of 4890,2310 is 30 .
LCM of 970,3452 is 1674220.
The greatest common factor of 4890/970,2310/3452 = [GCF of 4890,2310]/[LCM of 970,3452]= 30/1674220
Therefore, the GCF of 4890/970,2310/3452 is 30/1674220.
To find the highest common factor of 4890,2310, we have to find the factors of both numbers and list the highest common factor.
The factors of 4890 are 1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890
The factors of 2310 are 1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310
The HCF of 4890,2310 is 30.
Lets's calculate GCF of 4890,2310
| 2 | 4890, 2310 |
| 3 | 2445, 1155 |
| 5 | 815, 385 |
| 163, 77 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 4890,2310 By Matching Biggest Common Factor Method
Now, list down the factors of 4890
:1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890
Now, list down the factors of 2310
:1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310
Greatest Common Factor
We found the factors 4890,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 4890,2310 is 30.
Lets's calculate LCM of 970,3452
| 2 | 970, 3452 |
| 485, 1726 |
∴ So the LCM of the given numbers is 2 x 485 x 1726 = 1674220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1674220
Therefore, the GCF of Fractions 4890/970,2310/3452 is 30/1674220
Least Common Multiple of 970,3452 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 970,3452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,3452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,3452) x common factors =2 x 1 = 2
LCM(970,3452) = ( 970 × 3452 ) / 2
LCM(970,3452) = 3348440 / 2
LCM(970,3452) = 1674220
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FAQs on GCF of Fractions of 4890/970, 2310/3452
1. What is the HCF of 4890,2310?
The HCF of 4890,2310 is 30
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 4890/970, 2310/3452?
Answer: GCF of Numerators as per given numbers 4890/970, 2310/3452 is
GCF of Numerators i.e. for 4890,2310 is 30
LCM of denominators i.e. for 970,3452 is 1674220.
Thus, GCF of Fractions is 30/1674220.Finally, GCF of Fractions for 4890/970, 2310/3452 is 30/1674220.