GCF of 1721/993, 6761/4412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1721/993, 6761/4412 i.e 1/4381116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1721/993, 6761/4412.
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 1721/993,6761/4412?
Given fractions are 1721/993,6761/4412
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 1721/993,6761/4412, numerators are 1721,6761
Denominators are 993,4412
The GCF of 1721,6761 is 1 .
LCM of 993,4412 is 4381116.
The greatest common factor of 1721/993,6761/4412 = [GCF of 1721,6761]/[LCM of 993,4412]= 1/4381116
Therefore, the GCF of 1721/993,6761/4412 is 1/4381116.
To find the highest common factor of 1721,6761, we have to find the factors of both numbers and list the highest common factor.
The factors of 1721 are 1, 1721
The factors of 6761 are 1, 6761
The HCF of 1721,6761 is 1.
Lets's calculate GCF of 1721,6761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1721,6761 By Matching Biggest Common Factor Method
Now, list down the factors of 1721
:1,1721
Now, list down the factors of 6761
:1,6761
Greatest Common Factor
We found the factors 1721,6761 . The biggest common factor number is the GCF number.
So the greatest common factor 1721,6761 is 1.
Lets's calculate LCM of 993,4412
Given numbers has no common factors except 1. So, there LCM is their product i.e 4381116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4381116
Therefore, the GCF of Fractions 1721/993,6761/4412 is 1/4381116
Least Common Multiple of 993,4412 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 993,4412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,4412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,4412) x common factors =1 x 1 = 1
LCM(993,4412) = ( 993 × 4412 ) / 1
LCM(993,4412) = 4381116 / 1
LCM(993,4412) = 4381116
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FAQs on GCF of Fractions of 1721/993, 6761/4412
1. What is the HCF of 1721,6761?
The HCF of 1721,6761 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 1721/993, 6761/4412?
Answer: GCF of Numerators as per given numbers 1721/993, 6761/4412 is
GCF of Numerators i.e. for 1721,6761 is 1
LCM of denominators i.e. for 993,4412 is 4381116.
Thus, GCF of Fractions is 1/4381116.Finally, GCF of Fractions for 1721/993, 6761/4412 is 1/4381116.