GCF of 3293/687, 3219/5658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3293/687, 3219/5658 i.e 37/1295682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3293/687, 3219/5658.
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 3293/687,3219/5658?
Given fractions are 3293/687,3219/5658
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 3293/687,3219/5658, numerators are 3293,3219
Denominators are 687,5658
The GCF of 3293,3219 is 37 .
LCM of 687,5658 is 1295682.
The greatest common factor of 3293/687,3219/5658 = [GCF of 3293,3219]/[LCM of 687,5658]= 37/1295682
Therefore, the GCF of 3293/687,3219/5658 is 37/1295682.
To find the highest common factor of 3293,3219, we have to find the factors of both numbers and list the highest common factor.
The factors of 3293 are 1, 37, 89, 3293
The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219
The HCF of 3293,3219 is 37.
Lets's calculate GCF of 3293,3219
| 37 | 3293, 3219 |
| 89, 87 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 3293,3219 By Matching Biggest Common Factor Method
Now, list down the factors of 3293
:1,37,89,3293
Now, list down the factors of 3219
:1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 3293,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 3293,3219 is 37.
Lets's calculate LCM of 687,5658
| 3 | 687, 5658 |
| 229, 1886 |
∴ So the LCM of the given numbers is 3 x 229 x 1886 = 1295682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/1295682
Therefore, the GCF of Fractions 3293/687,3219/5658 is 37/1295682
Least Common Multiple of 687,5658 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 687,5658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,5658) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,5658) x common factors =3 x 1 = 3
LCM(687,5658) = ( 687 × 5658 ) / 3
LCM(687,5658) = 3887046 / 3
LCM(687,5658) = 1295682
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FAQs on GCF of Fractions of 3293/687, 3219/5658
1. What is the HCF of 3293,3219?
The HCF of 3293,3219 is 37
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 3293/687, 3219/5658?
Answer: GCF of Numerators as per given numbers 3293/687, 3219/5658 is
GCF of Numerators i.e. for 3293,3219 is 37
LCM of denominators i.e. for 687,5658 is 1295682.
Thus, GCF of Fractions is 37/1295682.Finally, GCF of Fractions for 3293/687, 3219/5658 is 37/1295682.