GCF of 3242/220, 2908/815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3242/220, 2908/815 i.e 2/35860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3242/220, 2908/815.
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 3242/220,2908/815?
Given fractions are 3242/220,2908/815
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 3242/220,2908/815, numerators are 3242,2908
Denominators are 220,815
The GCF of 3242,2908 is 2 .
LCM of 220,815 is 35860.
The greatest common factor of 3242/220,2908/815 = [GCF of 3242,2908]/[LCM of 220,815]= 2/35860
Therefore, the GCF of 3242/220,2908/815 is 2/35860.
To find the highest common factor of 3242,2908, we have to find the factors of both numbers and list the highest common factor.
The factors of 3242 are 1, 2, 1621, 3242
The factors of 2908 are 1, 2, 4, 727, 1454, 2908
The HCF of 3242,2908 is 2.
Lets's calculate GCF of 3242,2908
| 2 | 3242, 2908 |
| 1621, 1454 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3242,2908 By Matching Biggest Common Factor Method
Now, list down the factors of 3242
:1,2,1621,3242
Now, list down the factors of 2908
:1,2,4,727,1454,2908
Greatest Common Factor
We found the factors 3242,2908 . The biggest common factor number is the GCF number.
So the greatest common factor 3242,2908 is 2.
Lets's calculate LCM of 220,815
| 5 | 220, 815 |
| 44, 163 |
∴ So the LCM of the given numbers is 5 x 44 x 163 = 35860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35860
Therefore, the GCF of Fractions 3242/220,2908/815 is 2/35860
Least Common Multiple of 220,815 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 220,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(220,815) x common factors =5 x 1 = 5
LCM(220,815) = ( 220 × 815 ) / 5
LCM(220,815) = 179300 / 5
LCM(220,815) = 35860
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FAQs on GCF of Fractions of 3242/220, 2908/815
1. What is the HCF of 3242,2908?
The HCF of 3242,2908 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 3242/220, 2908/815?
Answer: GCF of Numerators as per given numbers 3242/220, 2908/815 is
GCF of Numerators i.e. for 3242,2908 is 2
LCM of denominators i.e. for 220,815 is 35860.
Thus, GCF of Fractions is 2/35860.Finally, GCF of Fractions for 3242/220, 2908/815 is 2/35860.