GCF of 935/68, 860/11, 409/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/68, 860/11, 409/31 i.e 1/23188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/68, 860/11, 409/31.
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 935/68,860/11,409/31?
Given fractions are 935/68,860/11,409/31
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 935/68,860/11,409/31, numerators are 935,860,409
Denominators are 68,11,31
The GCF of 935,860,409 is 1 .
LCM of 68,11,31 is 23188.
The greatest common factor of 935/68,860/11,409/31 = [GCF of 935,860,409]/[LCM of 68,11,31]= 1/23188
Therefore, the GCF of 935/68,860/11,409/31 is 1/23188.
To find the highest common factor of 935,860,409, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 409 are 1, 409
The HCF of 935,860,409 is 1.
Lets's calculate GCF of 935,860,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 935,860,409 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 409
:1,409
Greatest Common Factor
We found the factors 935,860,409 . The biggest common factor number is the GCF number.
So the greatest common factor 935,860,409 is 1.
Lets's calculate LCM of 68,11,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 23188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23188
Therefore, the GCF of Fractions 935/68,860/11,409/31 is 1/23188
Least Common Multiple of 68,11,31 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 68,11,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,11,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,11,31) x common factors =1 x 1 = 1
LCM(68,11,31) = ( 68 × 11 × 31 ) / 1
LCM(68,11,31) = 23188 / 1
LCM(68,11,31) = 23188
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FAQs on GCF of Fractions of 935/68, 860/11, 409/31
1. What is the HCF of 935,860,409?
The HCF of 935,860,409 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 935/68, 860/11, 409/31?
Answer: GCF of Numerators as per given numbers 935/68, 860/11, 409/31 is
GCF of Numerators i.e. for 935,860,409 is 1
LCM of denominators i.e. for 68,11,31 is 23188.
Thus, GCF of Fractions is 1/23188.Finally, GCF of Fractions for 935/68, 860/11, 409/31 is 1/23188.