GCF of 82/738, 3238/4458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/738, 3238/4458 i.e 2/548334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/738, 3238/4458.
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 82/738,3238/4458?
Given fractions are 82/738,3238/4458
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 82/738,3238/4458, numerators are 82,3238
Denominators are 738,4458
The GCF of 82,3238 is 2 .
LCM of 738,4458 is 548334.
The greatest common factor of 82/738,3238/4458 = [GCF of 82,3238]/[LCM of 738,4458]= 2/548334
Therefore, the GCF of 82/738,3238/4458 is 2/548334.
To find the highest common factor of 82,3238, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 3238 are 1, 2, 1619, 3238
The HCF of 82,3238 is 2.
Lets's calculate GCF of 82,3238
| 2 | 82, 3238 |
| 41, 1619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,3238 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 3238
:1,2,1619,3238
Greatest Common Factor
We found the factors 82,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 82,3238 is 2.
Lets's calculate LCM of 738,4458
| 2 | 738, 4458 |
| 3 | 369, 2229 |
| 123, 743 |
∴ So the LCM of the given numbers is 2 x 3 x 123 x 743 = 548334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/548334
Therefore, the GCF of Fractions 82/738,3238/4458 is 2/548334
Least Common Multiple of 738,4458 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 738,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,4458) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(738,4458) x common factors =6 x 1 = 6
LCM(738,4458) = ( 738 × 4458 ) / 6
LCM(738,4458) = 3290004 / 6
LCM(738,4458) = 548334
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FAQs on GCF of Fractions of 82/738, 3238/4458
1. What is the HCF of 82,3238?
The HCF of 82,3238 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 82/738, 3238/4458?
Answer: GCF of Numerators as per given numbers 82/738, 3238/4458 is
GCF of Numerators i.e. for 82,3238 is 2
LCM of denominators i.e. for 738,4458 is 548334.
Thus, GCF of Fractions is 2/548334.Finally, GCF of Fractions for 82/738, 3238/4458 is 2/548334.