GCF of 1858/241, 7786/7347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1858/241, 7786/7347 i.e 2/1770627 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1858/241, 7786/7347.
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 1858/241,7786/7347?
Given fractions are 1858/241,7786/7347
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 1858/241,7786/7347, numerators are 1858,7786
Denominators are 241,7347
The GCF of 1858,7786 is 2 .
LCM of 241,7347 is 1770627.
The greatest common factor of 1858/241,7786/7347 = [GCF of 1858,7786]/[LCM of 241,7347]= 2/1770627
Therefore, the GCF of 1858/241,7786/7347 is 2/1770627.
To find the highest common factor of 1858,7786, 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 7786 are 1, 2, 17, 34, 229, 458, 3893, 7786
The HCF of 1858,7786 is 2.
Lets's calculate GCF of 1858,7786
| 2 | 1858, 7786 |
| 929, 3893 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1858,7786 By Matching Biggest Common Factor Method
Now, list down the factors of 1858
:1,2,929,1858
Now, list down the factors of 7786
:1,2,17,34,229,458,3893,7786
Greatest Common Factor
We found the factors 1858,7786 . The biggest common factor number is the GCF number.
So the greatest common factor 1858,7786 is 2.
Lets's calculate LCM of 241,7347
Given numbers has no common factors except 1. So, there LCM is their product i.e 1770627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1770627
Therefore, the GCF of Fractions 1858/241,7786/7347 is 2/1770627
Least Common Multiple of 241,7347 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 241,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,7347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,7347) x common factors =1 x 1 = 1
LCM(241,7347) = ( 241 × 7347 ) / 1
LCM(241,7347) = 1770627 / 1
LCM(241,7347) = 1770627
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FAQs on GCF of Fractions of 1858/241, 7786/7347
1. What is the HCF of 1858,7786?
The HCF of 1858,7786 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 1858/241, 7786/7347?
Answer: GCF of Numerators as per given numbers 1858/241, 7786/7347 is
GCF of Numerators i.e. for 1858,7786 is 2
LCM of denominators i.e. for 241,7347 is 1770627.
Thus, GCF of Fractions is 2/1770627.Finally, GCF of Fractions for 1858/241, 7786/7347 is 2/1770627.