GCF of 9474/605, 2104/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9474/605, 2104/777 i.e 2/470085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9474/605, 2104/777.
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 9474/605,2104/777?
Given fractions are 9474/605,2104/777
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 9474/605,2104/777, numerators are 9474,2104
Denominators are 605,777
The GCF of 9474,2104 is 2 .
LCM of 605,777 is 470085.
The greatest common factor of 9474/605,2104/777 = [GCF of 9474,2104]/[LCM of 605,777]= 2/470085
Therefore, the GCF of 9474/605,2104/777 is 2/470085.
To find the highest common factor of 9474,2104, we have to find the factors of both numbers and list the highest common factor.
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104
The HCF of 9474,2104 is 2.
Lets's calculate GCF of 9474,2104
| 2 | 9474, 2104 |
| 4737, 1052 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9474,2104 By Matching Biggest Common Factor Method
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Now, list down the factors of 2104
:1,2,4,8,263,526,1052,2104
Greatest Common Factor
We found the factors 9474,2104 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,2104 is 2.
Lets's calculate LCM of 605,777
Given numbers has no common factors except 1. So, there LCM is their product i.e 470085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/470085
Therefore, the GCF of Fractions 9474/605,2104/777 is 2/470085
Least Common Multiple of 605,777 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 605,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,777) x common factors =1 x 1 = 1
LCM(605,777) = ( 605 × 777 ) / 1
LCM(605,777) = 470085 / 1
LCM(605,777) = 470085
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FAQs on GCF of Fractions of 9474/605, 2104/777
1. What is the HCF of 9474,2104?
The HCF of 9474,2104 is 2
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 9474/605, 2104/777?
Answer: GCF of Numerators as per given numbers 9474/605, 2104/777 is
GCF of Numerators i.e. for 9474,2104 is 2
LCM of denominators i.e. for 605,777 is 470085.
Thus, GCF of Fractions is 2/470085.Finally, GCF of Fractions for 9474/605, 2104/777 is 2/470085.