GCF of 338/774, 2765/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 338/774, 2765/389 i.e 1/301086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 338/774, 2765/389.
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 338/774,2765/389?
Given fractions are 338/774,2765/389
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 338/774,2765/389, numerators are 338,2765
Denominators are 774,389
The GCF of 338,2765 is 1 .
LCM of 774,389 is 301086.
The greatest common factor of 338/774,2765/389 = [GCF of 338,2765]/[LCM of 774,389]= 1/301086
Therefore, the GCF of 338/774,2765/389 is 1/301086.
To find the highest common factor of 338,2765, we have to find the factors of both numbers and list the highest common factor.
The factors of 338 are 1, 2, 13, 26, 169, 338
The factors of 2765 are 1, 5, 7, 35, 79, 395, 553, 2765
The HCF of 338,2765 is 1.
Lets's calculate GCF of 338,2765
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 338,2765 By Matching Biggest Common Factor Method
Now, list down the factors of 338
:1,2,13,26,169,338
Now, list down the factors of 2765
:1,5,7,35,79,395,553,2765
Greatest Common Factor
We found the factors 338,2765 . The biggest common factor number is the GCF number.
So the greatest common factor 338,2765 is 1.
Lets's calculate LCM of 774,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 301086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301086
Therefore, the GCF of Fractions 338/774,2765/389 is 1/301086
Least Common Multiple of 774,389 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 774,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,389) x common factors =1 x 1 = 1
LCM(774,389) = ( 774 × 389 ) / 1
LCM(774,389) = 301086 / 1
LCM(774,389) = 301086
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FAQs on GCF of Fractions of 338/774, 2765/389
1. What is the HCF of 338,2765?
The HCF of 338,2765 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 338/774, 2765/389?
Answer: GCF of Numerators as per given numbers 338/774, 2765/389 is
GCF of Numerators i.e. for 338,2765 is 1
LCM of denominators i.e. for 774,389 is 301086.
Thus, GCF of Fractions is 1/301086.Finally, GCF of Fractions for 338/774, 2765/389 is 1/301086.