GCF of 900/400, 8376/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 900/400, 8376/598 i.e 12/119600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/400, 8376/598.
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 900/400,8376/598?
Given fractions are 900/400,8376/598
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 900/400,8376/598, numerators are 900,8376
Denominators are 400,598
The GCF of 900,8376 is 12 .
LCM of 400,598 is 119600.
The greatest common factor of 900/400,8376/598 = [GCF of 900,8376]/[LCM of 400,598]= 12/119600
Therefore, the GCF of 900/400,8376/598 is 12/119600.
To find the highest common factor of 900,8376, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The HCF of 900,8376 is 12.
Lets's calculate GCF of 900,8376
| 2 | 900, 8376 |
| 2 | 450, 4188 |
| 3 | 225, 2094 |
| 75, 698 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 900,8376 By Matching Biggest Common Factor Method
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Greatest Common Factor
We found the factors 900,8376 . The biggest common factor number is the GCF number.
So the greatest common factor 900,8376 is 12.
Lets's calculate LCM of 400,598
| 2 | 400, 598 |
| 200, 299 |
∴ So the LCM of the given numbers is 2 x 200 x 299 = 119600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/119600
Therefore, the GCF of Fractions 900/400,8376/598 is 12/119600
Least Common Multiple of 400,598 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 400,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(400,598) x common factors =2 x 1 = 2
LCM(400,598) = ( 400 × 598 ) / 2
LCM(400,598) = 239200 / 2
LCM(400,598) = 119600
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FAQs on GCF of Fractions of 900/400, 8376/598
1. What is the HCF of 900,8376?
The HCF of 900,8376 is 12
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 900/400, 8376/598?
Answer: GCF of Numerators as per given numbers 900/400, 8376/598 is
GCF of Numerators i.e. for 900,8376 is 12
LCM of denominators i.e. for 400,598 is 119600.
Thus, GCF of Fractions is 12/119600.Finally, GCF of Fractions for 900/400, 8376/598 is 12/119600.