GCF of 5654/268, 8425/2766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5654/268, 8425/2766 i.e 1/370644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5654/268, 8425/2766.
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 5654/268,8425/2766?
Given fractions are 5654/268,8425/2766
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 5654/268,8425/2766, numerators are 5654,8425
Denominators are 268,2766
The GCF of 5654,8425 is 1 .
LCM of 268,2766 is 370644.
The greatest common factor of 5654/268,8425/2766 = [GCF of 5654,8425]/[LCM of 268,2766]= 1/370644
Therefore, the GCF of 5654/268,8425/2766 is 1/370644.
To find the highest common factor of 5654,8425, we have to find the factors of both numbers and list the highest common factor.
The factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654
The factors of 8425 are 1, 5, 25, 337, 1685, 8425
The HCF of 5654,8425 is 1.
Lets's calculate GCF of 5654,8425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5654,8425 By Matching Biggest Common Factor Method
Now, list down the factors of 5654
:1,2,11,22,257,514,2827,5654
Now, list down the factors of 8425
:1,5,25,337,1685,8425
Greatest Common Factor
We found the factors 5654,8425 . The biggest common factor number is the GCF number.
So the greatest common factor 5654,8425 is 1.
Lets's calculate LCM of 268,2766
| 2 | 268, 2766 |
| 134, 1383 |
∴ So the LCM of the given numbers is 2 x 134 x 1383 = 370644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370644
Therefore, the GCF of Fractions 5654/268,8425/2766 is 1/370644
Least Common Multiple of 268,2766 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 268,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,2766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,2766) x common factors =2 x 1 = 2
LCM(268,2766) = ( 268 × 2766 ) / 2
LCM(268,2766) = 741288 / 2
LCM(268,2766) = 370644
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FAQs on GCF of Fractions of 5654/268, 8425/2766
1. What is the HCF of 5654,8425?
The HCF of 5654,8425 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 5654/268, 8425/2766?
Answer: GCF of Numerators as per given numbers 5654/268, 8425/2766 is
GCF of Numerators i.e. for 5654,8425 is 1
LCM of denominators i.e. for 268,2766 is 370644.
Thus, GCF of Fractions is 1/370644.Finally, GCF of Fractions for 5654/268, 8425/2766 is 1/370644.