GCF of 1763/321, 1678/5006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1763/321, 1678/5006 i.e 1/1606926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1763/321, 1678/5006.
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 1763/321,1678/5006?
Given fractions are 1763/321,1678/5006
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 1763/321,1678/5006, numerators are 1763,1678
Denominators are 321,5006
The GCF of 1763,1678 is 1 .
LCM of 321,5006 is 1606926.
The greatest common factor of 1763/321,1678/5006 = [GCF of 1763,1678]/[LCM of 321,5006]= 1/1606926
Therefore, the GCF of 1763/321,1678/5006 is 1/1606926.
To find the highest common factor of 1763,1678, we have to find the factors of both numbers and list the highest common factor.
The factors of 1763 are 1, 41, 43, 1763
The factors of 1678 are 1, 2, 839, 1678
The HCF of 1763,1678 is 1.
Lets's calculate GCF of 1763,1678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1763,1678 By Matching Biggest Common Factor Method
Now, list down the factors of 1763
:1,41,43,1763
Now, list down the factors of 1678
:1,2,839,1678
Greatest Common Factor
We found the factors 1763,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,1678 is 1.
Lets's calculate LCM of 321,5006
Given numbers has no common factors except 1. So, there LCM is their product i.e 1606926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1606926
Therefore, the GCF of Fractions 1763/321,1678/5006 is 1/1606926
Least Common Multiple of 321,5006 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 321,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5006) x common factors =1 x 1 = 1
LCM(321,5006) = ( 321 × 5006 ) / 1
LCM(321,5006) = 1606926 / 1
LCM(321,5006) = 1606926
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FAQs on GCF of Fractions of 1763/321, 1678/5006
1. What is the HCF of 1763,1678?
The HCF of 1763,1678 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 1763/321, 1678/5006?
Answer: GCF of Numerators as per given numbers 1763/321, 1678/5006 is
GCF of Numerators i.e. for 1763,1678 is 1
LCM of denominators i.e. for 321,5006 is 1606926.
Thus, GCF of Fractions is 1/1606926.Finally, GCF of Fractions for 1763/321, 1678/5006 is 1/1606926.