GCF of 8940/441, 2940/4268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8940/441, 2940/4268 i.e 60/1882188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8940/441, 2940/4268.
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 8940/441,2940/4268?
Given fractions are 8940/441,2940/4268
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 8940/441,2940/4268, numerators are 8940,2940
Denominators are 441,4268
The GCF of 8940,2940 is 60 .
LCM of 441,4268 is 1882188.
The greatest common factor of 8940/441,2940/4268 = [GCF of 8940,2940]/[LCM of 441,4268]= 60/1882188
Therefore, the GCF of 8940/441,2940/4268 is 60/1882188.
To find the highest common factor of 8940,2940, we have to find the factors of both numbers and list the highest common factor.
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940
The HCF of 8940,2940 is 60.
Lets's calculate GCF of 8940,2940
| 2 | 8940, 2940 |
| 2 | 4470, 1470 |
| 3 | 2235, 735 |
| 5 | 745, 245 |
| 149, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 8940,2940 By Matching Biggest Common Factor Method
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Now, list down the factors of 2940
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940
Greatest Common Factor
We found the factors 8940,2940 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,2940 is 60.
Lets's calculate LCM of 441,4268
Given numbers has no common factors except 1. So, there LCM is their product i.e 1882188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/1882188
Therefore, the GCF of Fractions 8940/441,2940/4268 is 60/1882188
Least Common Multiple of 441,4268 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 441,4268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,4268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,4268) x common factors =1 x 1 = 1
LCM(441,4268) = ( 441 × 4268 ) / 1
LCM(441,4268) = 1882188 / 1
LCM(441,4268) = 1882188
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8940/441, 2940/4268
1. What is the HCF of 8940,2940?
The HCF of 8940,2940 is 60
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 8940/441, 2940/4268?
Answer: GCF of Numerators as per given numbers 8940/441, 2940/4268 is
GCF of Numerators i.e. for 8940,2940 is 60
LCM of denominators i.e. for 441,4268 is 1882188.
Thus, GCF of Fractions is 60/1882188.Finally, GCF of Fractions for 8940/441, 2940/4268 is 60/1882188.