GCF of 3932/453, 9455/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3932/453, 9455/154 i.e 1/69762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3932/453, 9455/154.
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 3932/453,9455/154?
Given fractions are 3932/453,9455/154
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 3932/453,9455/154, numerators are 3932,9455
Denominators are 453,154
The GCF of 3932,9455 is 1 .
LCM of 453,154 is 69762.
The greatest common factor of 3932/453,9455/154 = [GCF of 3932,9455]/[LCM of 453,154]= 1/69762
Therefore, the GCF of 3932/453,9455/154 is 1/69762.
To find the highest common factor of 3932,9455, we have to find the factors of both numbers and list the highest common factor.
The factors of 3932 are 1, 2, 4, 983, 1966, 3932
The factors of 9455 are 1, 5, 31, 61, 155, 305, 1891, 9455
The HCF of 3932,9455 is 1.
Lets's calculate GCF of 3932,9455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3932,9455 By Matching Biggest Common Factor Method
Now, list down the factors of 3932
:1,2,4,983,1966,3932
Now, list down the factors of 9455
:1,5,31,61,155,305,1891,9455
Greatest Common Factor
We found the factors 3932,9455 . The biggest common factor number is the GCF number.
So the greatest common factor 3932,9455 is 1.
Lets's calculate LCM of 453,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 69762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69762
Therefore, the GCF of Fractions 3932/453,9455/154 is 1/69762
Least Common Multiple of 453,154 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 453,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,154) x common factors =1 x 1 = 1
LCM(453,154) = ( 453 × 154 ) / 1
LCM(453,154) = 69762 / 1
LCM(453,154) = 69762
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FAQs on GCF of Fractions of 3932/453, 9455/154
1. What is the HCF of 3932,9455?
The HCF of 3932,9455 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 3932/453, 9455/154?
Answer: GCF of Numerators as per given numbers 3932/453, 9455/154 is
GCF of Numerators i.e. for 3932,9455 is 1
LCM of denominators i.e. for 453,154 is 69762.
Thus, GCF of Fractions is 1/69762.Finally, GCF of Fractions for 3932/453, 9455/154 is 1/69762.