GCF of 1596/642, 2324/1134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1596/642, 2324/1134 i.e 28/121338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1596/642, 2324/1134.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1596/642,2324/1134?
Given fractions are 1596/642,2324/1134
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 1596/642,2324/1134, numerators are 1596,2324
Denominators are 642,1134
The GCF of 1596,2324 is 28 .
LCM of 642,1134 is 121338.
The greatest common factor of 1596/642,2324/1134 = [GCF of 1596,2324]/[LCM of 642,1134]= 28/121338
Therefore, the GCF of 1596/642,2324/1134 is 28/121338.
To find the highest common factor of 1596,2324, we have to find the factors of both numbers and list the highest common factor.
The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
The factors of 2324 are 1, 2, 4, 7, 14, 28, 83, 166, 332, 581, 1162, 2324
The HCF of 1596,2324 is 28.
Lets's calculate GCF of 1596,2324
| 2 | 1596, 2324 |
| 2 | 798, 1162 |
| 7 | 399, 581 |
| 57, 83 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1596,2324 By Matching Biggest Common Factor Method
Now, list down the factors of 1596
:1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Now, list down the factors of 2324
:1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 1596,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 1596,2324 is 28.
Lets's calculate LCM of 642,1134
| 2 | 642, 1134 |
| 3 | 321, 567 |
| 107, 189 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 189 = 121338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/121338
Therefore, the GCF of Fractions 1596/642,2324/1134 is 28/121338
Least Common Multiple of 642,1134 with GCF Formula
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 642,1134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,1134) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(642,1134) x common factors =6 x 1 = 6
LCM(642,1134) = ( 642 × 1134 ) / 6
LCM(642,1134) = 728028 / 6
LCM(642,1134) = 121338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1596/642, 2324/1134
1. What is the HCF of 1596,2324?
The HCF of 1596,2324 is 28
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 1596/642, 2324/1134?
Answer: GCF of Numerators as per given numbers 1596/642, 2324/1134 is
GCF of Numerators i.e. for 1596,2324 is 28
LCM of denominators i.e. for 642,1134 is 121338.
Thus, GCF of Fractions is 28/121338.Finally, GCF of Fractions for 1596/642, 2324/1134 is 28/121338.