Use our free GCF of Fractions Calculator tool to compute the GCF of 931/427, 194/692 i.e 1/295484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/427, 194/692.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/427,194/692
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 931/427,194/692, numerators are 931,194
Denominators are 427,692
The GCF of 931,194 is 1 .
LCM of 427,692 is 295484.
The greatest common factor of 931/427,194/692 = [GCF of 931,194]/[LCM of 427,692]= 1/295484
Therefore, the GCF of 931/427,194/692 is 1/295484.
To find the highest common factor of 931,194, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 194 are 1, 2, 97, 194
The HCF of 931,194 is 1.
Lets's calculate GCF of 931,194
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 194
:1,2,97,194
Greatest Common Factor
We found the factors 931,194 . The biggest common factor number is the GCF number.
So the greatest common factor 931,194 is 1.
Lets's calculate LCM of 427,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 295484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295484
Therefore, the GCF of Fractions 931/427,194/692 is 1/295484
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 427,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,692) x common factors =1 x 1 = 1
LCM(427,692) = ( 427 × 692 ) / 1
LCM(427,692) = 295484 / 1
LCM(427,692) = 295484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 931,194?
The HCF of 931,194 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 931/427, 194/692?
Answer: GCF of Numerators as per given numbers 931/427, 194/692 is
GCF of Numerators i.e. for 931,194 is 1
LCM of denominators i.e. for 427,692 is 295484.
Thus, GCF of Fractions is 1/295484.Finally, GCF of Fractions for 931/427, 194/692 is 1/295484.