GCF of 104/226, 584/224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 104/226, 584/224 i.e 8/25312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/226, 584/224.
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 104/226,584/224?
Given fractions are 104/226,584/224
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 104/226,584/224, numerators are 104,584
Denominators are 226,224
The GCF of 104,584 is 8 .
LCM of 226,224 is 25312.
The greatest common factor of 104/226,584/224 = [GCF of 104,584]/[LCM of 226,224]= 8/25312
Therefore, the GCF of 104/226,584/224 is 8/25312.
To find the highest common factor of 104,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 104,584 is 8.
Lets's calculate GCF of 104,584
| 2 | 104, 584 |
| 2 | 52, 292 |
| 2 | 26, 146 |
| 13, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 104,584 By Matching Biggest Common Factor Method
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 104,584 . The biggest common factor number is the GCF number.
So the greatest common factor 104,584 is 8.
Lets's calculate LCM of 226,224
| 2 | 226, 224 |
| 113, 112 |
∴ So the LCM of the given numbers is 2 x 113 x 112 = 25312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/25312
Therefore, the GCF of Fractions 104/226,584/224 is 8/25312
Least Common Multiple of 226,224 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 226,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,224) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,224) x common factors =2 x 1 = 2
LCM(226,224) = ( 226 × 224 ) / 2
LCM(226,224) = 50624 / 2
LCM(226,224) = 25312
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FAQs on GCF of Fractions of 104/226, 584/224
1. What is the HCF of 104,584?
The HCF of 104,584 is 8
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 104/226, 584/224?
Answer: GCF of Numerators as per given numbers 104/226, 584/224 is
GCF of Numerators i.e. for 104,584 is 8
LCM of denominators i.e. for 226,224 is 25312.
Thus, GCF of Fractions is 8/25312.Finally, GCF of Fractions for 104/226, 584/224 is 8/25312.