Use our free GCF of Fractions Calculator tool to compute the GCF of 63/466, 26/359, 940/263 i.e 1/43998322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/466, 26/359, 940/263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/466,26/359,940/263
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 63/466,26/359,940/263, numerators are 63,26,940
Denominators are 466,359,263
The GCF of 63,26,940 is 1 .
LCM of 466,359,263 is 43998322.
The greatest common factor of 63/466,26/359,940/263 = [GCF of 63,26,940]/[LCM of 466,359,263]= 1/43998322
Therefore, the GCF of 63/466,26/359,940/263 is 1/43998322.
To find the highest common factor of 63,26,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 26 are 1, 2, 13, 26
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 63,26,940 is 1.
Lets's calculate GCF of 63,26,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 63,26,940 . The biggest common factor number is the GCF number.
So the greatest common factor 63,26,940 is 1.
Lets's calculate LCM of 466,359,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 43998322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43998322
Therefore, the GCF of Fractions 63/466,26/359,940/263 is 1/43998322
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 466,359,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,359,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,359,263) x common factors =1 x 1 = 1
LCM(466,359,263) = ( 466 × 359 × 263 ) / 1
LCM(466,359,263) = 43998322 / 1
LCM(466,359,263) = 43998322
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,26,940?
The HCF of 63,26,940 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 63/466, 26/359, 940/263?
Answer: GCF of Numerators as per given numbers 63/466, 26/359, 940/263 is
GCF of Numerators i.e. for 63,26,940 is 1
LCM of denominators i.e. for 466,359,263 is 43998322.
Thus, GCF of Fractions is 1/43998322.Finally, GCF of Fractions for 63/466, 26/359, 940/263 is 1/43998322.