Use our free GCF of Fractions Calculator tool to compute the GCF of 429/176, 7051/5172 i.e 11/227568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/176, 7051/5172.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/176,7051/5172
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 429/176,7051/5172, numerators are 429,7051
Denominators are 176,5172
The GCF of 429,7051 is 11 .
LCM of 176,5172 is 227568.
The greatest common factor of 429/176,7051/5172 = [GCF of 429,7051]/[LCM of 176,5172]= 11/227568
Therefore, the GCF of 429/176,7051/5172 is 11/227568.
To find the highest common factor of 429,7051, 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 7051 are 1, 11, 641, 7051
The HCF of 429,7051 is 11.
Lets's calculate GCF of 429,7051
11 | 429, 7051 |
39, 641 |
∴ 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 7051
:1,11,641,7051
Greatest Common Factor
We found the factors 429,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 429,7051 is 11.
Lets's calculate LCM of 176,5172
2 | 176, 5172 |
2 | 88, 2586 |
44, 1293 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 1293 = 227568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/227568
Therefore, the GCF of Fractions 429/176,7051/5172 is 11/227568
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 176,5172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,5172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(176,5172) x common factors =4 x 1 = 4
LCM(176,5172) = ( 176 × 5172 ) / 4
LCM(176,5172) = 910272 / 4
LCM(176,5172) = 227568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,7051?
The HCF of 429,7051 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 429/176, 7051/5172?
Answer: GCF of Numerators as per given numbers 429/176, 7051/5172 is
GCF of Numerators i.e. for 429,7051 is 11
LCM of denominators i.e. for 176,5172 is 227568.
Thus, GCF of Fractions is 11/227568.Finally, GCF of Fractions for 429/176, 7051/5172 is 11/227568.