GCF of 2417/274, 5800/928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2417/274, 5800/928 i.e 1/127136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2417/274, 5800/928.
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 2417/274,5800/928?
Given fractions are 2417/274,5800/928
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 2417/274,5800/928, numerators are 2417,5800
Denominators are 274,928
The GCF of 2417,5800 is 1 .
LCM of 274,928 is 127136.
The greatest common factor of 2417/274,5800/928 = [GCF of 2417,5800]/[LCM of 274,928]= 1/127136
Therefore, the GCF of 2417/274,5800/928 is 1/127136.
To find the highest common factor of 2417,5800, we have to find the factors of both numbers and list the highest common factor.
The factors of 2417 are 1, 2417
The factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800
The HCF of 2417,5800 is 1.
Lets's calculate GCF of 2417,5800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2417,5800 By Matching Biggest Common Factor Method
Now, list down the factors of 2417
:1,2417
Now, list down the factors of 5800
:1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800
Greatest Common Factor
We found the factors 2417,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 2417,5800 is 1.
Lets's calculate LCM of 274,928
| 2 | 274, 928 |
| 137, 464 |
∴ So the LCM of the given numbers is 2 x 137 x 464 = 127136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127136
Therefore, the GCF of Fractions 2417/274,5800/928 is 1/127136
Least Common Multiple of 274,928 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 274,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,928) x common factors =2 x 1 = 2
LCM(274,928) = ( 274 × 928 ) / 2
LCM(274,928) = 254272 / 2
LCM(274,928) = 127136
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FAQs on GCF of Fractions of 2417/274, 5800/928
1. What is the HCF of 2417,5800?
The HCF of 2417,5800 is 1
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 2417/274, 5800/928?
Answer: GCF of Numerators as per given numbers 2417/274, 5800/928 is
GCF of Numerators i.e. for 2417,5800 is 1
LCM of denominators i.e. for 274,928 is 127136.
Thus, GCF of Fractions is 1/127136.Finally, GCF of Fractions for 2417/274, 5800/928 is 1/127136.