GCF of 7099/373, 7933/9777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7099/373, 7933/9777 i.e 1/3646821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7099/373, 7933/9777.
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 7099/373,7933/9777?
Given fractions are 7099/373,7933/9777
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 7099/373,7933/9777, numerators are 7099,7933
Denominators are 373,9777
The GCF of 7099,7933 is 1 .
LCM of 373,9777 is 3646821.
The greatest common factor of 7099/373,7933/9777 = [GCF of 7099,7933]/[LCM of 373,9777]= 1/3646821
Therefore, the GCF of 7099/373,7933/9777 is 1/3646821.
To find the highest common factor of 7099,7933, we have to find the factors of both numbers and list the highest common factor.
The factors of 7099 are 1, 31, 229, 7099
The factors of 7933 are 1, 7933
The HCF of 7099,7933 is 1.
Lets's calculate GCF of 7099,7933
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7099,7933 By Matching Biggest Common Factor Method
Now, list down the factors of 7099
:1,31,229,7099
Now, list down the factors of 7933
:1,7933
Greatest Common Factor
We found the factors 7099,7933 . The biggest common factor number is the GCF number.
So the greatest common factor 7099,7933 is 1.
Lets's calculate LCM of 373,9777
Given numbers has no common factors except 1. So, there LCM is their product i.e 3646821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3646821
Therefore, the GCF of Fractions 7099/373,7933/9777 is 1/3646821
Least Common Multiple of 373,9777 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 373,9777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,9777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,9777) x common factors =1 x 1 = 1
LCM(373,9777) = ( 373 × 9777 ) / 1
LCM(373,9777) = 3646821 / 1
LCM(373,9777) = 3646821
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FAQs on GCF of Fractions of 7099/373, 7933/9777
1. What is the HCF of 7099,7933?
The HCF of 7099,7933 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 7099/373, 7933/9777?
Answer: GCF of Numerators as per given numbers 7099/373, 7933/9777 is
GCF of Numerators i.e. for 7099,7933 is 1
LCM of denominators i.e. for 373,9777 is 3646821.
Thus, GCF of Fractions is 1/3646821.Finally, GCF of Fractions for 7099/373, 7933/9777 is 1/3646821.