GCF of 4040/36, 2970/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4040/36, 2970/839 i.e 10/30204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4040/36, 2970/839.
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 4040/36,2970/839?
Given fractions are 4040/36,2970/839
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 4040/36,2970/839, numerators are 4040,2970
Denominators are 36,839
The GCF of 4040,2970 is 10 .
LCM of 36,839 is 30204.
The greatest common factor of 4040/36,2970/839 = [GCF of 4040,2970]/[LCM of 36,839]= 10/30204
Therefore, the GCF of 4040/36,2970/839 is 10/30204.
To find the highest common factor of 4040,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
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 4040,2970 is 10.
Lets's calculate GCF of 4040,2970
| 2 | 4040, 2970 |
| 5 | 2020, 1485 |
| 404, 297 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4040,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 4040
:1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
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 4040,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 4040,2970 is 10.
Lets's calculate LCM of 36,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 30204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/30204
Therefore, the GCF of Fractions 4040/36,2970/839 is 10/30204
Least Common Multiple of 36,839 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 36,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,839) x common factors =1 x 1 = 1
LCM(36,839) = ( 36 × 839 ) / 1
LCM(36,839) = 30204 / 1
LCM(36,839) = 30204
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FAQs on GCF of Fractions of 4040/36, 2970/839
1. What is the HCF of 4040,2970?
The HCF of 4040,2970 is 10
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 4040/36, 2970/839?
Answer: GCF of Numerators as per given numbers 4040/36, 2970/839 is
GCF of Numerators i.e. for 4040,2970 is 10
LCM of denominators i.e. for 36,839 is 30204.
Thus, GCF of Fractions is 10/30204.Finally, GCF of Fractions for 4040/36, 2970/839 is 10/30204.