GCF of 5914/839, 3528/3321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5914/839, 3528/3321 i.e 2/2786319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5914/839, 3528/3321.
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 5914/839,3528/3321?
Given fractions are 5914/839,3528/3321
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 5914/839,3528/3321, numerators are 5914,3528
Denominators are 839,3321
The GCF of 5914,3528 is 2 .
LCM of 839,3321 is 2786319.
The greatest common factor of 5914/839,3528/3321 = [GCF of 5914,3528]/[LCM of 839,3321]= 2/2786319
Therefore, the GCF of 5914/839,3528/3321 is 2/2786319.
To find the highest common factor of 5914,3528, we have to find the factors of both numbers and list the highest common factor.
The factors of 5914 are 1, 2, 2957, 5914
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 HCF of 5914,3528 is 2.
Lets's calculate GCF of 5914,3528
| 2 | 5914, 3528 |
| 2957, 1764 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5914,3528 By Matching Biggest Common Factor Method
Now, list down the factors of 5914
:1,2,2957,5914
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
Greatest Common Factor
We found the factors 5914,3528 . The biggest common factor number is the GCF number.
So the greatest common factor 5914,3528 is 2.
Lets's calculate LCM of 839,3321
Given numbers has no common factors except 1. So, there LCM is their product i.e 2786319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2786319
Therefore, the GCF of Fractions 5914/839,3528/3321 is 2/2786319
Least Common Multiple of 839,3321 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 839,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,3321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,3321) x common factors =1 x 1 = 1
LCM(839,3321) = ( 839 × 3321 ) / 1
LCM(839,3321) = 2786319 / 1
LCM(839,3321) = 2786319
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FAQs on GCF of Fractions of 5914/839, 3528/3321
1. What is the HCF of 5914,3528?
The HCF of 5914,3528 is 2
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 5914/839, 3528/3321?
Answer: GCF of Numerators as per given numbers 5914/839, 3528/3321 is
GCF of Numerators i.e. for 5914,3528 is 2
LCM of denominators i.e. for 839,3321 is 2786319.
Thus, GCF of Fractions is 2/2786319.Finally, GCF of Fractions for 5914/839, 3528/3321 is 2/2786319.