GCF of 8900/724, 2245/9256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8900/724, 2245/9256 i.e 5/1675336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8900/724, 2245/9256.
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 8900/724,2245/9256?
Given fractions are 8900/724,2245/9256
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 8900/724,2245/9256, numerators are 8900,2245
Denominators are 724,9256
The GCF of 8900,2245 is 5 .
LCM of 724,9256 is 1675336.
The greatest common factor of 8900/724,2245/9256 = [GCF of 8900,2245]/[LCM of 724,9256]= 5/1675336
Therefore, the GCF of 8900/724,2245/9256 is 5/1675336.
To find the highest common factor of 8900,2245, we have to find the factors of both numbers and list the highest common factor.
The factors of 8900 are 1, 2, 4, 5, 10, 20, 25, 50, 89, 100, 178, 356, 445, 890, 1780, 2225, 4450, 8900
The factors of 2245 are 1, 5, 449, 2245
The HCF of 8900,2245 is 5.
Lets's calculate GCF of 8900,2245
| 5 | 8900, 2245 |
| 1780, 449 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8900,2245 By Matching Biggest Common Factor Method
Now, list down the factors of 8900
:1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900
Now, list down the factors of 2245
:1,5,449,2245
Greatest Common Factor
We found the factors 8900,2245 . The biggest common factor number is the GCF number.
So the greatest common factor 8900,2245 is 5.
Lets's calculate LCM of 724,9256
| 2 | 724, 9256 |
| 2 | 362, 4628 |
| 181, 2314 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 2314 = 1675336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1675336
Therefore, the GCF of Fractions 8900/724,2245/9256 is 5/1675336
Least Common Multiple of 724,9256 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 724,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,9256) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,9256) x common factors =4 x 1 = 4
LCM(724,9256) = ( 724 × 9256 ) / 4
LCM(724,9256) = 6701344 / 4
LCM(724,9256) = 1675336
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FAQs on GCF of Fractions of 8900/724, 2245/9256
1. What is the HCF of 8900,2245?
The HCF of 8900,2245 is 5
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 8900/724, 2245/9256?
Answer: GCF of Numerators as per given numbers 8900/724, 2245/9256 is
GCF of Numerators i.e. for 8900,2245 is 5
LCM of denominators i.e. for 724,9256 is 1675336.
Thus, GCF of Fractions is 5/1675336.Finally, GCF of Fractions for 8900/724, 2245/9256 is 5/1675336.