GCF of 7383/993, 8003/9778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7383/993, 8003/9778 i.e 1/9709554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7383/993, 8003/9778.
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 7383/993,8003/9778?
Given fractions are 7383/993,8003/9778
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 7383/993,8003/9778, numerators are 7383,8003
Denominators are 993,9778
The GCF of 7383,8003 is 1 .
LCM of 993,9778 is 9709554.
The greatest common factor of 7383/993,8003/9778 = [GCF of 7383,8003]/[LCM of 993,9778]= 1/9709554
Therefore, the GCF of 7383/993,8003/9778 is 1/9709554.
To find the highest common factor of 7383,8003, we have to find the factors of both numbers and list the highest common factor.
The factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383
The factors of 8003 are 1, 53, 151, 8003
The HCF of 7383,8003 is 1.
Lets's calculate GCF of 7383,8003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7383,8003 By Matching Biggest Common Factor Method
Now, list down the factors of 7383
:1,3,23,69,107,321,2461,7383
Now, list down the factors of 8003
:1,53,151,8003
Greatest Common Factor
We found the factors 7383,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 7383,8003 is 1.
Lets's calculate LCM of 993,9778
Given numbers has no common factors except 1. So, there LCM is their product i.e 9709554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9709554
Therefore, the GCF of Fractions 7383/993,8003/9778 is 1/9709554
Least Common Multiple of 993,9778 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 993,9778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,9778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,9778) x common factors =1 x 1 = 1
LCM(993,9778) = ( 993 × 9778 ) / 1
LCM(993,9778) = 9709554 / 1
LCM(993,9778) = 9709554
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FAQs on GCF of Fractions of 7383/993, 8003/9778
1. What is the HCF of 7383,8003?
The HCF of 7383,8003 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 7383/993, 8003/9778?
Answer: GCF of Numerators as per given numbers 7383/993, 8003/9778 is
GCF of Numerators i.e. for 7383,8003 is 1
LCM of denominators i.e. for 993,9778 is 9709554.
Thus, GCF of Fractions is 1/9709554.Finally, GCF of Fractions for 7383/993, 8003/9778 is 1/9709554.