GCF of 9323/777, 3934/6175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9323/777, 3934/6175 i.e 1/4797975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9323/777, 3934/6175.
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 9323/777,3934/6175?
Given fractions are 9323/777,3934/6175
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 9323/777,3934/6175, numerators are 9323,3934
Denominators are 777,6175
The GCF of 9323,3934 is 1 .
LCM of 777,6175 is 4797975.
The greatest common factor of 9323/777,3934/6175 = [GCF of 9323,3934]/[LCM of 777,6175]= 1/4797975
Therefore, the GCF of 9323/777,3934/6175 is 1/4797975.
To find the highest common factor of 9323,3934, we have to find the factors of both numbers and list the highest common factor.
The factors of 9323 are 1, 9323
The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934
The HCF of 9323,3934 is 1.
Lets's calculate GCF of 9323,3934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9323,3934 By Matching Biggest Common Factor Method
Now, list down the factors of 9323
:1,9323
Now, list down the factors of 3934
:1,2,7,14,281,562,1967,3934
Greatest Common Factor
We found the factors 9323,3934 . The biggest common factor number is the GCF number.
So the greatest common factor 9323,3934 is 1.
Lets's calculate LCM of 777,6175
Given numbers has no common factors except 1. So, there LCM is their product i.e 4797975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4797975
Therefore, the GCF of Fractions 9323/777,3934/6175 is 1/4797975
Least Common Multiple of 777,6175 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 777,6175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,6175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,6175) x common factors =1 x 1 = 1
LCM(777,6175) = ( 777 × 6175 ) / 1
LCM(777,6175) = 4797975 / 1
LCM(777,6175) = 4797975
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FAQs on GCF of Fractions of 9323/777, 3934/6175
1. What is the HCF of 9323,3934?
The HCF of 9323,3934 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 9323/777, 3934/6175?
Answer: GCF of Numerators as per given numbers 9323/777, 3934/6175 is
GCF of Numerators i.e. for 9323,3934 is 1
LCM of denominators i.e. for 777,6175 is 4797975.
Thus, GCF of Fractions is 1/4797975.Finally, GCF of Fractions for 9323/777, 3934/6175 is 1/4797975.