Use our free GCF of Fractions Calculator tool to compute the GCF of 263/940, 358/693 i.e 1/651420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/940, 358/693.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/940,358/693
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 263/940,358/693, numerators are 263,358
Denominators are 940,693
The GCF of 263,358 is 1 .
LCM of 940,693 is 651420.
The greatest common factor of 263/940,358/693 = [GCF of 263,358]/[LCM of 940,693]= 1/651420
Therefore, the GCF of 263/940,358/693 is 1/651420.
To find the highest common factor of 263,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 263 are 1, 263
The factors of 358 are 1, 2, 179, 358
The HCF of 263,358 is 1.
Lets's calculate GCF of 263,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 263
:1,263
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 263,358 . The biggest common factor number is the GCF number.
So the greatest common factor 263,358 is 1.
Lets's calculate LCM of 940,693
Given numbers has no common factors except 1. So, there LCM is their product i.e 651420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651420
Therefore, the GCF of Fractions 263/940,358/693 is 1/651420
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 940,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,693) x common factors =1 x 1 = 1
LCM(940,693) = ( 940 × 693 ) / 1
LCM(940,693) = 651420 / 1
LCM(940,693) = 651420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 263,358?
The HCF of 263,358 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 263/940, 358/693?
Answer: GCF of Numerators as per given numbers 263/940, 358/693 is
GCF of Numerators i.e. for 263,358 is 1
LCM of denominators i.e. for 940,693 is 651420.
Thus, GCF of Fractions is 1/651420.Finally, GCF of Fractions for 263/940, 358/693 is 1/651420.