Use our free GCF of Fractions Calculator tool to compute the GCF of 1/91, 83/47, 96/308, 643/396 i.e 1/1693692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/91, 83/47, 96/308, 643/396.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/91,83/47,96/308,643/396
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 1/91,83/47,96/308,643/396, numerators are 1,83,96,643
Denominators are 91,47,308,396
The GCF of 1,83,96,643 is 1 .
LCM of 91,47,308,396 is 1693692.
The greatest common factor of 1/91,83/47,96/308,643/396 = [GCF of 1,83,96,643]/[LCM of 91,47,308,396]= 1/1693692
Therefore, the GCF of 1/91,83/47,96/308,643/396 is 1/1693692.
To find the highest common factor of 1,83,96,643, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 83 are 1, 83
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 643 are 1, 643
The HCF of 1,83,96,643 is 1.
Lets's calculate GCF of 1,83,96,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1
:1
Now, list down the factors of 83
:1,83
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 1,83,96,643 . The biggest common factor number is the GCF number.
So the greatest common factor 1,83,96,643 is 1.
Lets's calculate LCM of 91,47,308,396
2 | 91, 47, 308, 396 |
2 | 91, 47, 154, 198 |
7 | 91, 47, 77, 99 |
11 | 13, 47, 11, 99 |
13, 47, 1, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 13 x 47 x 1 x 9 = 1693692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1693692
Therefore, the GCF of Fractions 1/91,83/47,96/308,643/396 is 1/1693692
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 91,47,308,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,47,308,396) = 1
common factors(in case of two or more numbers have common factors) = 308
GCF(91,47,308,396) x common factors =1 x 308 = 308
LCM(91,47,308,396) = ( 91 × 47 × 308 × 396 ) / 308
LCM(91,47,308,396) = 521657136 / 308
LCM(91,47,308,396) = 1693692
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1,83,96,643?
The HCF of 1,83,96,643 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 1/91, 83/47, 96/308, 643/396?
Answer: GCF of Numerators as per given numbers 1/91, 83/47, 96/308, 643/396 is
GCF of Numerators i.e. for 1,83,96,643 is 1
LCM of denominators i.e. for 91,47,308,396 is 1693692.
Thus, GCF of Fractions is 1/1693692.Finally, GCF of Fractions for 1/91, 83/47, 96/308, 643/396 is 1/1693692.