Use our free GCF of Fractions Calculator tool to compute the GCF of 93/26, 434/77, 496/677 i.e 31/1355354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 93/26, 434/77, 496/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/26,434/77,496/677
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 93/26,434/77,496/677, numerators are 93,434,496
Denominators are 26,77,677
The GCF of 93,434,496 is 31 .
LCM of 26,77,677 is 1355354.
The greatest common factor of 93/26,434/77,496/677 = [GCF of 93,434,496]/[LCM of 26,77,677]= 31/1355354
Therefore, the GCF of 93/26,434/77,496/677 is 31/1355354.
To find the highest common factor of 93,434,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 93 are 1, 3, 31, 93
The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 93,434,496 is 31.
Lets's calculate GCF of 93,434,496
31 | 93, 434, 496 |
3, 14, 16 |
∴ So the GCF of the given numbers is 31 = 31
Now, list down the factors of 93
:1,3,31,93
Now, list down the factors of 434
:1,2,7,14,31,62,217,434
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 93,434,496 . The biggest common factor number is the GCF number.
So the greatest common factor 93,434,496 is 31.
Lets's calculate LCM of 26,77,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1355354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1355354
Therefore, the GCF of Fractions 93/26,434/77,496/677 is 31/1355354
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 26,77,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,77,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,77,677) x common factors =1 x 1 = 1
LCM(26,77,677) = ( 26 × 77 × 677 ) / 1
LCM(26,77,677) = 1355354 / 1
LCM(26,77,677) = 1355354
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 93,434,496?
The HCF of 93,434,496 is 31
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 93/26, 434/77, 496/677?
Answer: GCF of Numerators as per given numbers 93/26, 434/77, 496/677 is
GCF of Numerators i.e. for 93,434,496 is 31
LCM of denominators i.e. for 26,77,677 is 1355354.
Thus, GCF of Fractions is 31/1355354.Finally, GCF of Fractions for 93/26, 434/77, 496/677 is 31/1355354.