GCF of 3528/432, 5200/5530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3528/432, 5200/5530 i.e 8/1194480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3528/432, 5200/5530.
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 3528/432,5200/5530?
Given fractions are 3528/432,5200/5530
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 3528/432,5200/5530, numerators are 3528,5200
Denominators are 432,5530
The GCF of 3528,5200 is 8 .
LCM of 432,5530 is 1194480.
The greatest common factor of 3528/432,5200/5530 = [GCF of 3528,5200]/[LCM of 432,5530]= 8/1194480
Therefore, the GCF of 3528/432,5200/5530 is 8/1194480.
To find the highest common factor of 3528,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 3528 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 3528,5200 is 8.
Lets's calculate GCF of 3528,5200
| 2 | 3528, 5200 |
| 2 | 1764, 2600 |
| 2 | 882, 1300 |
| 441, 650 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3528,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 3528
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 3528,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 3528,5200 is 8.
Lets's calculate LCM of 432,5530
| 2 | 432, 5530 |
| 216, 2765 |
∴ So the LCM of the given numbers is 2 x 216 x 2765 = 1194480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1194480
Therefore, the GCF of Fractions 3528/432,5200/5530 is 8/1194480
Least Common Multiple of 432,5530 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 432,5530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,5530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,5530) x common factors =2 x 1 = 2
LCM(432,5530) = ( 432 × 5530 ) / 2
LCM(432,5530) = 2388960 / 2
LCM(432,5530) = 1194480
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FAQs on GCF of Fractions of 3528/432, 5200/5530
1. What is the HCF of 3528,5200?
The HCF of 3528,5200 is 8
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 3528/432, 5200/5530?
Answer: GCF of Numerators as per given numbers 3528/432, 5200/5530 is
GCF of Numerators i.e. for 3528,5200 is 8
LCM of denominators i.e. for 432,5530 is 1194480.
Thus, GCF of Fractions is 8/1194480.Finally, GCF of Fractions for 3528/432, 5200/5530 is 8/1194480.