GCF of 603/898, 678/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 603/898, 678/900 i.e 3/404100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/898, 678/900.
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 603/898,678/900?
Given fractions are 603/898,678/900
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 603/898,678/900, numerators are 603,678
Denominators are 898,900
The GCF of 603,678 is 3 .
LCM of 898,900 is 404100.
The greatest common factor of 603/898,678/900 = [GCF of 603,678]/[LCM of 898,900]= 3/404100
Therefore, the GCF of 603/898,678/900 is 3/404100.
To find the highest common factor of 603,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 603,678 is 3.
Lets's calculate GCF of 603,678
| 3 | 603, 678 |
| 201, 226 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 603,678 By Matching Biggest Common Factor Method
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 603,678 . The biggest common factor number is the GCF number.
So the greatest common factor 603,678 is 3.
Lets's calculate LCM of 898,900
| 2 | 898, 900 |
| 449, 450 |
∴ So the LCM of the given numbers is 2 x 449 x 450 = 404100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/404100
Therefore, the GCF of Fractions 603/898,678/900 is 3/404100
Least Common Multiple of 898,900 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 898,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,900) x common factors =2 x 1 = 2
LCM(898,900) = ( 898 × 900 ) / 2
LCM(898,900) = 808200 / 2
LCM(898,900) = 404100
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FAQs on GCF of Fractions of 603/898, 678/900
1. What is the HCF of 603,678?
The HCF of 603,678 is 3
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 603/898, 678/900?
Answer: GCF of Numerators as per given numbers 603/898, 678/900 is
GCF of Numerators i.e. for 603,678 is 3
LCM of denominators i.e. for 898,900 is 404100.
Thus, GCF of Fractions is 3/404100.Finally, GCF of Fractions for 603/898, 678/900 is 3/404100.