GCF of 3874/671, 4462/6853
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3874/671, 4462/6853 i.e 2/418033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3874/671, 4462/6853.
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 3874/671,4462/6853?
Given fractions are 3874/671,4462/6853
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 3874/671,4462/6853, numerators are 3874,4462
Denominators are 671,6853
The GCF of 3874,4462 is 2 .
LCM of 671,6853 is 418033.
The greatest common factor of 3874/671,4462/6853 = [GCF of 3874,4462]/[LCM of 671,6853]= 2/418033
Therefore, the GCF of 3874/671,4462/6853 is 2/418033.
To find the highest common factor of 3874,4462, we have to find the factors of both numbers and list the highest common factor.
The factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874
The factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462
The HCF of 3874,4462 is 2.
Lets's calculate GCF of 3874,4462
| 2 | 3874, 4462 |
| 1937, 2231 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3874,4462 By Matching Biggest Common Factor Method
Now, list down the factors of 3874
:1,2,13,26,149,298,1937,3874
Now, list down the factors of 4462
:1,2,23,46,97,194,2231,4462
Greatest Common Factor
We found the factors 3874,4462 . The biggest common factor number is the GCF number.
So the greatest common factor 3874,4462 is 2.
Lets's calculate LCM of 671,6853
| 11 | 671, 6853 |
| 61, 623 |
∴ So the LCM of the given numbers is 11 x 61 x 623 = 418033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418033
Therefore, the GCF of Fractions 3874/671,4462/6853 is 2/418033
Least Common Multiple of 671,6853 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 671,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,6853) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(671,6853) x common factors =11 x 1 = 11
LCM(671,6853) = ( 671 × 6853 ) / 11
LCM(671,6853) = 4598363 / 11
LCM(671,6853) = 418033
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FAQs on GCF of Fractions of 3874/671, 4462/6853
1. What is the HCF of 3874,4462?
The HCF of 3874,4462 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 3874/671, 4462/6853?
Answer: GCF of Numerators as per given numbers 3874/671, 4462/6853 is
GCF of Numerators i.e. for 3874,4462 is 2
LCM of denominators i.e. for 671,6853 is 418033.
Thus, GCF of Fractions is 2/418033.Finally, GCF of Fractions for 3874/671, 4462/6853 is 2/418033.