GCF of 3990/212, 3870/8348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3990/212, 3870/8348 i.e 30/442444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3990/212, 3870/8348.
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 3990/212,3870/8348?
Given fractions are 3990/212,3870/8348
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 3990/212,3870/8348, numerators are 3990,3870
Denominators are 212,8348
The GCF of 3990,3870 is 30 .
LCM of 212,8348 is 442444.
The greatest common factor of 3990/212,3870/8348 = [GCF of 3990,3870]/[LCM of 212,8348]= 30/442444
Therefore, the GCF of 3990/212,3870/8348 is 30/442444.
To find the highest common factor of 3990,3870, we have to find the factors of both numbers and list the highest common factor.
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The factors of 3870 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 43, 45, 86, 90, 129, 215, 258, 387, 430, 645, 774, 1290, 1935, 3870
The HCF of 3990,3870 is 30.
Lets's calculate GCF of 3990,3870
| 2 | 3990, 3870 |
| 3 | 1995, 1935 |
| 5 | 665, 645 |
| 133, 129 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 3990,3870 By Matching Biggest Common Factor Method
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Now, list down the factors of 3870
:1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 3990,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 3990,3870 is 30.
Lets's calculate LCM of 212,8348
| 2 | 212, 8348 |
| 2 | 106, 4174 |
| 53, 2087 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 2087 = 442444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/442444
Therefore, the GCF of Fractions 3990/212,3870/8348 is 30/442444
Least Common Multiple of 212,8348 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 212,8348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,8348) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(212,8348) x common factors =4 x 1 = 4
LCM(212,8348) = ( 212 × 8348 ) / 4
LCM(212,8348) = 1769776 / 4
LCM(212,8348) = 442444
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3990/212, 3870/8348
1. What is the HCF of 3990,3870?
The HCF of 3990,3870 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 3990/212, 3870/8348?
Answer: GCF of Numerators as per given numbers 3990/212, 3870/8348 is
GCF of Numerators i.e. for 3990,3870 is 30
LCM of denominators i.e. for 212,8348 is 442444.
Thus, GCF of Fractions is 30/442444.Finally, GCF of Fractions for 3990/212, 3870/8348 is 30/442444.