GCF of 3990/390, 2318/221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3990/390, 2318/221 i.e 38/6630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3990/390, 2318/221.
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 3990/390,2318/221?
Given fractions are 3990/390,2318/221
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 3990/390,2318/221, numerators are 3990,2318
Denominators are 390,221
The GCF of 3990,2318 is 38 .
LCM of 390,221 is 6630.
The greatest common factor of 3990/390,2318/221 = [GCF of 3990,2318]/[LCM of 390,221]= 38/6630
Therefore, the GCF of 3990/390,2318/221 is 38/6630.
To find the highest common factor of 3990,2318, 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 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The HCF of 3990,2318 is 38.
Lets's calculate GCF of 3990,2318
| 2 | 3990, 2318 |
| 19 | 1995, 1159 |
| 105, 61 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 3990,2318 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 2318
:1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 3990,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 3990,2318 is 38.
Lets's calculate LCM of 390,221
| 13 | 390, 221 |
| 30, 17 |
∴ So the LCM of the given numbers is 13 x 30 x 17 = 6630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/6630
Therefore, the GCF of Fractions 3990/390,2318/221 is 38/6630
Least Common Multiple of 390,221 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 390,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,221) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(390,221) x common factors =13 x 1 = 13
LCM(390,221) = ( 390 × 221 ) / 13
LCM(390,221) = 86190 / 13
LCM(390,221) = 6630
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FAQs on GCF of Fractions of 3990/390, 2318/221
1. What is the HCF of 3990,2318?
The HCF of 3990,2318 is 38
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 3990/390, 2318/221?
Answer: GCF of Numerators as per given numbers 3990/390, 2318/221 is
GCF of Numerators i.e. for 3990,2318 is 38
LCM of denominators i.e. for 390,221 is 6630.
Thus, GCF of Fractions is 38/6630.Finally, GCF of Fractions for 3990/390, 2318/221 is 38/6630.