GCF of 1993/697, 6675/8302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1993/697, 6675/8302 i.e 1/5786494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1993/697, 6675/8302.
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 1993/697,6675/8302?
Given fractions are 1993/697,6675/8302
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 1993/697,6675/8302, numerators are 1993,6675
Denominators are 697,8302
The GCF of 1993,6675 is 1 .
LCM of 697,8302 is 5786494.
The greatest common factor of 1993/697,6675/8302 = [GCF of 1993,6675]/[LCM of 697,8302]= 1/5786494
Therefore, the GCF of 1993/697,6675/8302 is 1/5786494.
To find the highest common factor of 1993,6675, we have to find the factors of both numbers and list the highest common factor.
The factors of 1993 are 1, 1993
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The HCF of 1993,6675 is 1.
Lets's calculate GCF of 1993,6675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1993,6675 By Matching Biggest Common Factor Method
Now, list down the factors of 1993
:1,1993
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Greatest Common Factor
We found the factors 1993,6675 . The biggest common factor number is the GCF number.
So the greatest common factor 1993,6675 is 1.
Lets's calculate LCM of 697,8302
Given numbers has no common factors except 1. So, there LCM is their product i.e 5786494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5786494
Therefore, the GCF of Fractions 1993/697,6675/8302 is 1/5786494
Least Common Multiple of 697,8302 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 697,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,8302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,8302) x common factors =1 x 1 = 1
LCM(697,8302) = ( 697 × 8302 ) / 1
LCM(697,8302) = 5786494 / 1
LCM(697,8302) = 5786494
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FAQs on GCF of Fractions of 1993/697, 6675/8302
1. What is the HCF of 1993,6675?
The HCF of 1993,6675 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 1993/697, 6675/8302?
Answer: GCF of Numerators as per given numbers 1993/697, 6675/8302 is
GCF of Numerators i.e. for 1993,6675 is 1
LCM of denominators i.e. for 697,8302 is 5786494.
Thus, GCF of Fractions is 1/5786494.Finally, GCF of Fractions for 1993/697, 6675/8302 is 1/5786494.