GCF of 3396/252, 1584/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3396/252, 1584/689 i.e 12/173628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3396/252, 1584/689.
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 3396/252,1584/689?
Given fractions are 3396/252,1584/689
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 3396/252,1584/689, numerators are 3396,1584
Denominators are 252,689
The GCF of 3396,1584 is 12 .
LCM of 252,689 is 173628.
The greatest common factor of 3396/252,1584/689 = [GCF of 3396,1584]/[LCM of 252,689]= 12/173628
Therefore, the GCF of 3396/252,1584/689 is 12/173628.
To find the highest common factor of 3396,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 3396,1584 is 12.
Lets's calculate GCF of 3396,1584
| 2 | 3396, 1584 |
| 2 | 1698, 792 |
| 3 | 849, 396 |
| 283, 132 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3396,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 3396,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 3396,1584 is 12.
Lets's calculate LCM of 252,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 173628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/173628
Therefore, the GCF of Fractions 3396/252,1584/689 is 12/173628
Least Common Multiple of 252,689 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 252,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(252,689) x common factors =1 x 1 = 1
LCM(252,689) = ( 252 × 689 ) / 1
LCM(252,689) = 173628 / 1
LCM(252,689) = 173628
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FAQs on GCF of Fractions of 3396/252, 1584/689
1. What is the HCF of 3396,1584?
The HCF of 3396,1584 is 12
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 3396/252, 1584/689?
Answer: GCF of Numerators as per given numbers 3396/252, 1584/689 is
GCF of Numerators i.e. for 3396,1584 is 12
LCM of denominators i.e. for 252,689 is 173628.
Thus, GCF of Fractions is 12/173628.Finally, GCF of Fractions for 3396/252, 1584/689 is 12/173628.