Use our free GCF of Fractions Calculator tool to compute the GCF of 429/52, 781/892 i.e 11/11596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/52, 781/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/52,781/892
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 429/52,781/892, numerators are 429,781
Denominators are 52,892
The GCF of 429,781 is 11 .
LCM of 52,892 is 11596.
The greatest common factor of 429/52,781/892 = [GCF of 429,781]/[LCM of 52,892]= 11/11596
Therefore, the GCF of 429/52,781/892 is 11/11596.
To find the highest common factor of 429,781, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 781 are 1, 11, 71, 781
The HCF of 429,781 is 11.
Lets's calculate GCF of 429,781
11 | 429, 781 |
39, 71 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 781
:1,11,71,781
Greatest Common Factor
We found the factors 429,781 . The biggest common factor number is the GCF number.
So the greatest common factor 429,781 is 11.
Lets's calculate LCM of 52,892
2 | 52, 892 |
2 | 26, 446 |
13, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 223 = 11596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11596
Therefore, the GCF of Fractions 429/52,781/892 is 11/11596
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 52,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,892) x common factors =4 x 1 = 4
LCM(52,892) = ( 52 × 892 ) / 4
LCM(52,892) = 46384 / 4
LCM(52,892) = 11596
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,781?
The HCF of 429,781 is 11
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 429/52, 781/892?
Answer: GCF of Numerators as per given numbers 429/52, 781/892 is
GCF of Numerators i.e. for 429,781 is 11
LCM of denominators i.e. for 52,892 is 11596.
Thus, GCF of Fractions is 11/11596.Finally, GCF of Fractions for 429/52, 781/892 is 11/11596.