GCF of 671/82, 574/6636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 671/82, 574/6636 i.e 1/272076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 671/82, 574/6636.
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 671/82,574/6636?
Given fractions are 671/82,574/6636
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 671/82,574/6636, numerators are 671,574
Denominators are 82,6636
The GCF of 671,574 is 1 .
LCM of 82,6636 is 272076.
The greatest common factor of 671/82,574/6636 = [GCF of 671,574]/[LCM of 82,6636]= 1/272076
Therefore, the GCF of 671/82,574/6636 is 1/272076.
To find the highest common factor of 671,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 671 are 1, 11, 61, 671
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 671,574 is 1.
Lets's calculate GCF of 671,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 671,574 By Matching Biggest Common Factor Method
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 671,574 . The biggest common factor number is the GCF number.
So the greatest common factor 671,574 is 1.
Lets's calculate LCM of 82,6636
| 2 | 82, 6636 |
| 41, 3318 |
∴ So the LCM of the given numbers is 2 x 41 x 3318 = 272076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272076
Therefore, the GCF of Fractions 671/82,574/6636 is 1/272076
Least Common Multiple of 82,6636 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 82,6636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,6636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,6636) x common factors =2 x 1 = 2
LCM(82,6636) = ( 82 × 6636 ) / 2
LCM(82,6636) = 544152 / 2
LCM(82,6636) = 272076
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FAQs on GCF of Fractions of 671/82, 574/6636
1. What is the HCF of 671,574?
The HCF of 671,574 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 671/82, 574/6636?
Answer: GCF of Numerators as per given numbers 671/82, 574/6636 is
GCF of Numerators i.e. for 671,574 is 1
LCM of denominators i.e. for 82,6636 is 272076.
Thus, GCF of Fractions is 1/272076.Finally, GCF of Fractions for 671/82, 574/6636 is 1/272076.