GCF of 5842/667, 2276/2012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5842/667, 2276/2012 i.e 2/1342004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5842/667, 2276/2012.
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 5842/667,2276/2012?
Given fractions are 5842/667,2276/2012
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 5842/667,2276/2012, numerators are 5842,2276
Denominators are 667,2012
The GCF of 5842,2276 is 2 .
LCM of 667,2012 is 1342004.
The greatest common factor of 5842/667,2276/2012 = [GCF of 5842,2276]/[LCM of 667,2012]= 2/1342004
Therefore, the GCF of 5842/667,2276/2012 is 2/1342004.
To find the highest common factor of 5842,2276, we have to find the factors of both numbers and list the highest common factor.
The factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842
The factors of 2276 are 1, 2, 4, 569, 1138, 2276
The HCF of 5842,2276 is 2.
Lets's calculate GCF of 5842,2276
| 2 | 5842, 2276 |
| 2921, 1138 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5842,2276 By Matching Biggest Common Factor Method
Now, list down the factors of 5842
:1,2,23,46,127,254,2921,5842
Now, list down the factors of 2276
:1,2,4,569,1138,2276
Greatest Common Factor
We found the factors 5842,2276 . The biggest common factor number is the GCF number.
So the greatest common factor 5842,2276 is 2.
Lets's calculate LCM of 667,2012
Given numbers has no common factors except 1. So, there LCM is their product i.e 1342004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1342004
Therefore, the GCF of Fractions 5842/667,2276/2012 is 2/1342004
Least Common Multiple of 667,2012 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 667,2012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,2012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,2012) x common factors =1 x 1 = 1
LCM(667,2012) = ( 667 × 2012 ) / 1
LCM(667,2012) = 1342004 / 1
LCM(667,2012) = 1342004
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FAQs on GCF of Fractions of 5842/667, 2276/2012
1. What is the HCF of 5842,2276?
The HCF of 5842,2276 is 2
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 5842/667, 2276/2012?
Answer: GCF of Numerators as per given numbers 5842/667, 2276/2012 is
GCF of Numerators i.e. for 5842,2276 is 2
LCM of denominators i.e. for 667,2012 is 1342004.
Thus, GCF of Fractions is 2/1342004.Finally, GCF of Fractions for 5842/667, 2276/2012 is 2/1342004.