GCF of 4587/820, 9960/4009
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4587/820, 9960/4009 i.e 3/3287380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4587/820, 9960/4009.
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 4587/820,9960/4009?
Given fractions are 4587/820,9960/4009
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 4587/820,9960/4009, numerators are 4587,9960
Denominators are 820,4009
The GCF of 4587,9960 is 3 .
LCM of 820,4009 is 3287380.
The greatest common factor of 4587/820,9960/4009 = [GCF of 4587,9960]/[LCM of 820,4009]= 3/3287380
Therefore, the GCF of 4587/820,9960/4009 is 3/3287380.
To find the highest common factor of 4587,9960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587
The factors of 9960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 83, 120, 166, 249, 332, 415, 498, 664, 830, 996, 1245, 1660, 1992, 2490, 3320, 4980, 9960
The HCF of 4587,9960 is 3.
Lets's calculate GCF of 4587,9960
| 3 | 4587, 9960 |
| 1529, 3320 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4587,9960 By Matching Biggest Common Factor Method
Now, list down the factors of 4587
:1,3,11,33,139,417,1529,4587
Now, list down the factors of 9960
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960
Greatest Common Factor
We found the factors 4587,9960 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,9960 is 3.
Lets's calculate LCM of 820,4009
Given numbers has no common factors except 1. So, there LCM is their product i.e 3287380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3287380
Therefore, the GCF of Fractions 4587/820,9960/4009 is 3/3287380
Least Common Multiple of 820,4009 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 820,4009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,4009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,4009) x common factors =1 x 1 = 1
LCM(820,4009) = ( 820 × 4009 ) / 1
LCM(820,4009) = 3287380 / 1
LCM(820,4009) = 3287380
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FAQs on GCF of Fractions of 4587/820, 9960/4009
1. What is the HCF of 4587,9960?
The HCF of 4587,9960 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 4587/820, 9960/4009?
Answer: GCF of Numerators as per given numbers 4587/820, 9960/4009 is
GCF of Numerators i.e. for 4587,9960 is 3
LCM of denominators i.e. for 820,4009 is 3287380.
Thus, GCF of Fractions is 3/3287380.Finally, GCF of Fractions for 4587/820, 9960/4009 is 3/3287380.