Use our free GCF of Fractions Calculator tool to compute the GCF of 55/51, 963/17, 429/524 i.e 1/26724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/51, 963/17, 429/524.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/51,963/17,429/524
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 55/51,963/17,429/524, numerators are 55,963,429
Denominators are 51,17,524
The GCF of 55,963,429 is 1 .
LCM of 51,17,524 is 26724.
The greatest common factor of 55/51,963/17,429/524 = [GCF of 55,963,429]/[LCM of 51,17,524]= 1/26724
Therefore, the GCF of 55/51,963/17,429/524 is 1/26724.
To find the highest common factor of 55,963,429, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The HCF of 55,963,429 is 1.
Lets's calculate GCF of 55,963,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 55,963,429 . The biggest common factor number is the GCF number.
So the greatest common factor 55,963,429 is 1.
Lets's calculate LCM of 51,17,524
17 | 51, 17, 524 |
3, 1, 524 |
∴ So the LCM of the given numbers is 17 x 3 x 1 x 524 = 26724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26724
Therefore, the GCF of Fractions 55/51,963/17,429/524 is 1/26724
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 51,17,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,17,524) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(51,17,524) x common factors =1 x 17 = 17
LCM(51,17,524) = ( 51 × 17 × 524 ) / 17
LCM(51,17,524) = 454308 / 17
LCM(51,17,524) = 26724
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,963,429?
The HCF of 55,963,429 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 55/51, 963/17, 429/524?
Answer: GCF of Numerators as per given numbers 55/51, 963/17, 429/524 is
GCF of Numerators i.e. for 55,963,429 is 1
LCM of denominators i.e. for 51,17,524 is 26724.
Thus, GCF of Fractions is 1/26724.Finally, GCF of Fractions for 55/51, 963/17, 429/524 is 1/26724.