GCF of 5136/663, 5196/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5136/663, 5196/3709 i.e 12/2459067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5136/663, 5196/3709.
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 5136/663,5196/3709?
Given fractions are 5136/663,5196/3709
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 5136/663,5196/3709, numerators are 5136,5196
Denominators are 663,3709
The GCF of 5136,5196 is 12 .
LCM of 663,3709 is 2459067.
The greatest common factor of 5136/663,5196/3709 = [GCF of 5136,5196]/[LCM of 663,3709]= 12/2459067
Therefore, the GCF of 5136/663,5196/3709 is 12/2459067.
To find the highest common factor of 5136,5196, we have to find the factors of both numbers and list the highest common factor.
The factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The HCF of 5136,5196 is 12.
Lets's calculate GCF of 5136,5196
| 2 | 5136, 5196 |
| 2 | 2568, 2598 |
| 3 | 1284, 1299 |
| 428, 433 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5136,5196 By Matching Biggest Common Factor Method
Now, list down the factors of 5136
:1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Greatest Common Factor
We found the factors 5136,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 5136,5196 is 12.
Lets's calculate LCM of 663,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 2459067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2459067
Therefore, the GCF of Fractions 5136/663,5196/3709 is 12/2459067
Least Common Multiple of 663,3709 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 663,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,3709) x common factors =1 x 1 = 1
LCM(663,3709) = ( 663 × 3709 ) / 1
LCM(663,3709) = 2459067 / 1
LCM(663,3709) = 2459067
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FAQs on GCF of Fractions of 5136/663, 5196/3709
1. What is the HCF of 5136,5196?
The HCF of 5136,5196 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 5136/663, 5196/3709?
Answer: GCF of Numerators as per given numbers 5136/663, 5196/3709 is
GCF of Numerators i.e. for 5136,5196 is 12
LCM of denominators i.e. for 663,3709 is 2459067.
Thus, GCF of Fractions is 12/2459067.Finally, GCF of Fractions for 5136/663, 5196/3709 is 12/2459067.