GCF of 339/48, 782/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/48, 782/789 i.e 1/12624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/48, 782/789.
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 339/48,782/789?
Given fractions are 339/48,782/789
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 339/48,782/789, numerators are 339,782
Denominators are 48,789
The GCF of 339,782 is 1 .
LCM of 48,789 is 12624.
The greatest common factor of 339/48,782/789 = [GCF of 339,782]/[LCM of 48,789]= 1/12624
Therefore, the GCF of 339/48,782/789 is 1/12624.
To find the highest common factor of 339,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 339,782 is 1.
Lets's calculate GCF of 339,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 339,782 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 339,782 . The biggest common factor number is the GCF number.
So the greatest common factor 339,782 is 1.
Lets's calculate LCM of 48,789
| 3 | 48, 789 |
| 16, 263 |
∴ So the LCM of the given numbers is 3 x 16 x 263 = 12624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12624
Therefore, the GCF of Fractions 339/48,782/789 is 1/12624
Least Common Multiple of 48,789 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 48,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(48,789) x common factors =3 x 1 = 3
LCM(48,789) = ( 48 × 789 ) / 3
LCM(48,789) = 37872 / 3
LCM(48,789) = 12624
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FAQs on GCF of Fractions of 339/48, 782/789
1. What is the HCF of 339,782?
The HCF of 339,782 is 1
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 339/48, 782/789?
Answer: GCF of Numerators as per given numbers 339/48, 782/789 is
GCF of Numerators i.e. for 339,782 is 1
LCM of denominators i.e. for 48,789 is 12624.
Thus, GCF of Fractions is 1/12624.Finally, GCF of Fractions for 339/48, 782/789 is 1/12624.