GCF of 838/123, 917/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 838/123, 917/519 i.e 1/21279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/123, 917/519.
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 838/123,917/519?
Given fractions are 838/123,917/519
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 838/123,917/519, numerators are 838,917
Denominators are 123,519
The GCF of 838,917 is 1 .
LCM of 123,519 is 21279.
The greatest common factor of 838/123,917/519 = [GCF of 838,917]/[LCM of 123,519]= 1/21279
Therefore, the GCF of 838/123,917/519 is 1/21279.
To find the highest common factor of 838,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 917 are 1, 7, 131, 917
The HCF of 838,917 is 1.
Lets's calculate GCF of 838,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 838,917 By Matching Biggest Common Factor Method
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 838,917 . The biggest common factor number is the GCF number.
So the greatest common factor 838,917 is 1.
Lets's calculate LCM of 123,519
| 3 | 123, 519 |
| 41, 173 |
∴ So the LCM of the given numbers is 3 x 41 x 173 = 21279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21279
Therefore, the GCF of Fractions 838/123,917/519 is 1/21279
Least Common Multiple of 123,519 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 123,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,519) x common factors =3 x 1 = 3
LCM(123,519) = ( 123 × 519 ) / 3
LCM(123,519) = 63837 / 3
LCM(123,519) = 21279
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FAQs on GCF of Fractions of 838/123, 917/519
1. What is the HCF of 838,917?
The HCF of 838,917 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 838/123, 917/519?
Answer: GCF of Numerators as per given numbers 838/123, 917/519 is
GCF of Numerators i.e. for 838,917 is 1
LCM of denominators i.e. for 123,519 is 21279.
Thus, GCF of Fractions is 1/21279.Finally, GCF of Fractions for 838/123, 917/519 is 1/21279.