GCF of 9917/740, 7233/1773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9917/740, 7233/1773 i.e 1/1312020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9917/740, 7233/1773.
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 9917/740,7233/1773?
Given fractions are 9917/740,7233/1773
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 9917/740,7233/1773, numerators are 9917,7233
Denominators are 740,1773
The GCF of 9917,7233 is 1 .
LCM of 740,1773 is 1312020.
The greatest common factor of 9917/740,7233/1773 = [GCF of 9917,7233]/[LCM of 740,1773]= 1/1312020
Therefore, the GCF of 9917/740,7233/1773 is 1/1312020.
To find the highest common factor of 9917,7233, we have to find the factors of both numbers and list the highest common factor.
The factors of 9917 are 1, 47, 211, 9917
The factors of 7233 are 1, 3, 2411, 7233
The HCF of 9917,7233 is 1.
Lets's calculate GCF of 9917,7233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9917,7233 By Matching Biggest Common Factor Method
Now, list down the factors of 9917
:1,47,211,9917
Now, list down the factors of 7233
:1,3,2411,7233
Greatest Common Factor
We found the factors 9917,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 9917,7233 is 1.
Lets's calculate LCM of 740,1773
Given numbers has no common factors except 1. So, there LCM is their product i.e 1312020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1312020
Therefore, the GCF of Fractions 9917/740,7233/1773 is 1/1312020
Least Common Multiple of 740,1773 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 740,1773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,1773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,1773) x common factors =1 x 1 = 1
LCM(740,1773) = ( 740 × 1773 ) / 1
LCM(740,1773) = 1312020 / 1
LCM(740,1773) = 1312020
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FAQs on GCF of Fractions of 9917/740, 7233/1773
1. What is the HCF of 9917,7233?
The HCF of 9917,7233 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 9917/740, 7233/1773?
Answer: GCF of Numerators as per given numbers 9917/740, 7233/1773 is
GCF of Numerators i.e. for 9917,7233 is 1
LCM of denominators i.e. for 740,1773 is 1312020.
Thus, GCF of Fractions is 1/1312020.Finally, GCF of Fractions for 9917/740, 7233/1773 is 1/1312020.