GCF of 270/556, 2007/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 270/556, 2007/898 i.e 9/249644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 270/556, 2007/898.
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 270/556,2007/898?
Given fractions are 270/556,2007/898
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 270/556,2007/898, numerators are 270,2007
Denominators are 556,898
The GCF of 270,2007 is 9 .
LCM of 556,898 is 249644.
The greatest common factor of 270/556,2007/898 = [GCF of 270,2007]/[LCM of 556,898]= 9/249644
Therefore, the GCF of 270/556,2007/898 is 9/249644.
To find the highest common factor of 270,2007, we have to find the factors of both numbers and list the highest common factor.
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The factors of 2007 are 1, 3, 9, 223, 669, 2007
The HCF of 270,2007 is 9.
Lets's calculate GCF of 270,2007
| 3 | 270, 2007 |
| 3 | 90, 669 |
| 30, 223 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 270,2007 By Matching Biggest Common Factor Method
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Now, list down the factors of 2007
:1,3,9,223,669,2007
Greatest Common Factor
We found the factors 270,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 270,2007 is 9.
Lets's calculate LCM of 556,898
| 2 | 556, 898 |
| 278, 449 |
∴ So the LCM of the given numbers is 2 x 278 x 449 = 249644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/249644
Therefore, the GCF of Fractions 270/556,2007/898 is 9/249644
Least Common Multiple of 556,898 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 556,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(556,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(556,898) x common factors =2 x 1 = 2
LCM(556,898) = ( 556 × 898 ) / 2
LCM(556,898) = 499288 / 2
LCM(556,898) = 249644
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FAQs on GCF of Fractions of 270/556, 2007/898
1. What is the HCF of 270,2007?
The HCF of 270,2007 is 9
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 270/556, 2007/898?
Answer: GCF of Numerators as per given numbers 270/556, 2007/898 is
GCF of Numerators i.e. for 270,2007 is 9
LCM of denominators i.e. for 556,898 is 249644.
Thus, GCF of Fractions is 9/249644.Finally, GCF of Fractions for 270/556, 2007/898 is 9/249644.