GCF of 388/307, 935/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 388/307, 935/932 i.e 1/286124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 388/307, 935/932.
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 388/307,935/932?
Given fractions are 388/307,935/932
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 388/307,935/932, numerators are 388,935
Denominators are 307,932
The GCF of 388,935 is 1 .
LCM of 307,932 is 286124.
The greatest common factor of 388/307,935/932 = [GCF of 388,935]/[LCM of 307,932]= 1/286124
Therefore, the GCF of 388/307,935/932 is 1/286124.
To find the highest common factor of 388,935, we have to find the factors of both numbers and list the highest common factor.
The factors of 388 are 1, 2, 4, 97, 194, 388
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The HCF of 388,935 is 1.
Lets's calculate GCF of 388,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 388,935 By Matching Biggest Common Factor Method
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 388,935 . The biggest common factor number is the GCF number.
So the greatest common factor 388,935 is 1.
Lets's calculate LCM of 307,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 286124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286124
Therefore, the GCF of Fractions 388/307,935/932 is 1/286124
Least Common Multiple of 307,932 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 307,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,932) x common factors =1 x 1 = 1
LCM(307,932) = ( 307 × 932 ) / 1
LCM(307,932) = 286124 / 1
LCM(307,932) = 286124
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FAQs on GCF of Fractions of 388/307, 935/932
1. What is the HCF of 388,935?
The HCF of 388,935 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 388/307, 935/932?
Answer: GCF of Numerators as per given numbers 388/307, 935/932 is
GCF of Numerators i.e. for 388,935 is 1
LCM of denominators i.e. for 307,932 is 286124.
Thus, GCF of Fractions is 1/286124.Finally, GCF of Fractions for 388/307, 935/932 is 1/286124.