GCF of 4410/587, 2970/3017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4410/587, 2970/3017 i.e 90/1770979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4410/587, 2970/3017.
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 4410/587,2970/3017?
Given fractions are 4410/587,2970/3017
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 4410/587,2970/3017, numerators are 4410,2970
Denominators are 587,3017
The GCF of 4410,2970 is 90 .
LCM of 587,3017 is 1770979.
The greatest common factor of 4410/587,2970/3017 = [GCF of 4410,2970]/[LCM of 587,3017]= 90/1770979
Therefore, the GCF of 4410/587,2970/3017 is 90/1770979.
To find the highest common factor of 4410,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4410 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 49, 63, 70, 90, 98, 105, 126, 147, 210, 245, 294, 315, 441, 490, 630, 735, 882, 1470, 2205, 4410
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 4410,2970 is 90.
Lets's calculate GCF of 4410,2970
| 2 | 4410, 2970 |
| 3 | 2205, 1485 |
| 3 | 735, 495 |
| 5 | 245, 165 |
| 49, 33 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90
Greatest Common Factor of 4410,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 4410
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 4410,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 4410,2970 is 90.
Lets's calculate LCM of 587,3017
Given numbers has no common factors except 1. So, there LCM is their product i.e 1770979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/1770979
Therefore, the GCF of Fractions 4410/587,2970/3017 is 90/1770979
Least Common Multiple of 587,3017 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 587,3017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,3017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,3017) x common factors =1 x 1 = 1
LCM(587,3017) = ( 587 × 3017 ) / 1
LCM(587,3017) = 1770979 / 1
LCM(587,3017) = 1770979
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FAQs on GCF of Fractions of 4410/587, 2970/3017
1. What is the HCF of 4410,2970?
The HCF of 4410,2970 is 90
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 4410/587, 2970/3017?
Answer: GCF of Numerators as per given numbers 4410/587, 2970/3017 is
GCF of Numerators i.e. for 4410,2970 is 90
LCM of denominators i.e. for 587,3017 is 1770979.
Thus, GCF of Fractions is 90/1770979.Finally, GCF of Fractions for 4410/587, 2970/3017 is 90/1770979.