GCF of 1136/629, 4273/6766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1136/629, 4273/6766 i.e 1/250342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1136/629, 4273/6766.
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 1136/629,4273/6766?
Given fractions are 1136/629,4273/6766
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 1136/629,4273/6766, numerators are 1136,4273
Denominators are 629,6766
The GCF of 1136,4273 is 1 .
LCM of 629,6766 is 250342.
The greatest common factor of 1136/629,4273/6766 = [GCF of 1136,4273]/[LCM of 629,6766]= 1/250342
Therefore, the GCF of 1136/629,4273/6766 is 1/250342.
To find the highest common factor of 1136,4273, we have to find the factors of both numbers and list the highest common factor.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136
The factors of 4273 are 1, 4273
The HCF of 1136,4273 is 1.
Lets's calculate GCF of 1136,4273
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1136,4273 By Matching Biggest Common Factor Method
Now, list down the factors of 1136
:1,2,4,8,16,71,142,284,568,1136
Now, list down the factors of 4273
:1,4273
Greatest Common Factor
We found the factors 1136,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 1136,4273 is 1.
Lets's calculate LCM of 629,6766
| 17 | 629, 6766 |
| 37, 398 |
∴ So the LCM of the given numbers is 17 x 37 x 398 = 250342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/250342
Therefore, the GCF of Fractions 1136/629,4273/6766 is 1/250342
Least Common Multiple of 629,6766 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 629,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,6766) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(629,6766) x common factors =17 x 1 = 17
LCM(629,6766) = ( 629 × 6766 ) / 17
LCM(629,6766) = 4255814 / 17
LCM(629,6766) = 250342
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FAQs on GCF of Fractions of 1136/629, 4273/6766
1. What is the HCF of 1136,4273?
The HCF of 1136,4273 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 1136/629, 4273/6766?
Answer: GCF of Numerators as per given numbers 1136/629, 4273/6766 is
GCF of Numerators i.e. for 1136,4273 is 1
LCM of denominators i.e. for 629,6766 is 250342.
Thus, GCF of Fractions is 1/250342.Finally, GCF of Fractions for 1136/629, 4273/6766 is 1/250342.