GCF of 2204/270, 2008/3615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2204/270, 2008/3615 i.e 4/65070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2204/270, 2008/3615.
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 2204/270,2008/3615?
Given fractions are 2204/270,2008/3615
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 2204/270,2008/3615, numerators are 2204,2008
Denominators are 270,3615
The GCF of 2204,2008 is 4 .
LCM of 270,3615 is 65070.
The greatest common factor of 2204/270,2008/3615 = [GCF of 2204,2008]/[LCM of 270,3615]= 4/65070
Therefore, the GCF of 2204/270,2008/3615 is 4/65070.
To find the highest common factor of 2204,2008, we have to find the factors of both numbers and list the highest common factor.
The factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The HCF of 2204,2008 is 4.
Lets's calculate GCF of 2204,2008
| 2 | 2204, 2008 |
| 2 | 1102, 1004 |
| 551, 502 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2204,2008 By Matching Biggest Common Factor Method
Now, list down the factors of 2204
:1,2,4,19,29,38,58,76,116,551,1102,2204
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Greatest Common Factor
We found the factors 2204,2008 . The biggest common factor number is the GCF number.
So the greatest common factor 2204,2008 is 4.
Lets's calculate LCM of 270,3615
| 3 | 270, 3615 |
| 5 | 90, 1205 |
| 18, 241 |
∴ So the LCM of the given numbers is 3 x 5 x 18 x 241 = 65070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65070
Therefore, the GCF of Fractions 2204/270,2008/3615 is 4/65070
Least Common Multiple of 270,3615 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 270,3615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,3615) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(270,3615) x common factors =15 x 1 = 15
LCM(270,3615) = ( 270 × 3615 ) / 15
LCM(270,3615) = 976050 / 15
LCM(270,3615) = 65070
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FAQs on GCF of Fractions of 2204/270, 2008/3615
1. What is the HCF of 2204,2008?
The HCF of 2204,2008 is 4
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 2204/270, 2008/3615?
Answer: GCF of Numerators as per given numbers 2204/270, 2008/3615 is
GCF of Numerators i.e. for 2204,2008 is 4
LCM of denominators i.e. for 270,3615 is 65070.
Thus, GCF of Fractions is 4/65070.Finally, GCF of Fractions for 2204/270, 2008/3615 is 4/65070.