GCF of 1858/676, 4028/445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1858/676, 4028/445 i.e 2/300820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1858/676, 4028/445.
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 1858/676,4028/445?
Given fractions are 1858/676,4028/445
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 1858/676,4028/445, numerators are 1858,4028
Denominators are 676,445
The GCF of 1858,4028 is 2 .
LCM of 676,445 is 300820.
The greatest common factor of 1858/676,4028/445 = [GCF of 1858,4028]/[LCM of 676,445]= 2/300820
Therefore, the GCF of 1858/676,4028/445 is 2/300820.
To find the highest common factor of 1858,4028, we have to find the factors of both numbers and list the highest common factor.
The factors of 1858 are 1, 2, 929, 1858
The factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The HCF of 1858,4028 is 2.
Lets's calculate GCF of 1858,4028
| 2 | 1858, 4028 |
| 929, 2014 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1858,4028 By Matching Biggest Common Factor Method
Now, list down the factors of 1858
:1,2,929,1858
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 1858,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 1858,4028 is 2.
Lets's calculate LCM of 676,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 300820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/300820
Therefore, the GCF of Fractions 1858/676,4028/445 is 2/300820
Least Common Multiple of 676,445 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 676,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,445) x common factors =1 x 1 = 1
LCM(676,445) = ( 676 × 445 ) / 1
LCM(676,445) = 300820 / 1
LCM(676,445) = 300820
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FAQs on GCF of Fractions of 1858/676, 4028/445
1. What is the HCF of 1858,4028?
The HCF of 1858,4028 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 1858/676, 4028/445?
Answer: GCF of Numerators as per given numbers 1858/676, 4028/445 is
GCF of Numerators i.e. for 1858,4028 is 2
LCM of denominators i.e. for 676,445 is 300820.
Thus, GCF of Fractions is 2/300820.Finally, GCF of Fractions for 1858/676, 4028/445 is 2/300820.