GCF of 34/38, 899/87, 794/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/38, 899/87, 794/367 i.e 1/1213302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/38, 899/87, 794/367.
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 34/38,899/87,794/367?
Given fractions are 34/38,899/87,794/367
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 34/38,899/87,794/367, numerators are 34,899,794
Denominators are 38,87,367
The GCF of 34,899,794 is 1 .
LCM of 38,87,367 is 1213302.
The greatest common factor of 34/38,899/87,794/367 = [GCF of 34,899,794]/[LCM of 38,87,367]= 1/1213302
Therefore, the GCF of 34/38,899/87,794/367 is 1/1213302.
To find the highest common factor of 34,899,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 899 are 1, 29, 31, 899
The factors of 794 are 1, 2, 397, 794
The HCF of 34,899,794 is 1.
Lets's calculate GCF of 34,899,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,899,794 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 34,899,794 . The biggest common factor number is the GCF number.
So the greatest common factor 34,899,794 is 1.
Lets's calculate LCM of 38,87,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1213302
Therefore, the GCF of Fractions 34/38,899/87,794/367 is 1/1213302
Least Common Multiple of 38,87,367 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 38,87,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,87,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,87,367) x common factors =1 x 1 = 1
LCM(38,87,367) = ( 38 × 87 × 367 ) / 1
LCM(38,87,367) = 1213302 / 1
LCM(38,87,367) = 1213302
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FAQs on GCF of Fractions of 34/38, 899/87, 794/367
1. What is the HCF of 34,899,794?
The HCF of 34,899,794 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 34/38, 899/87, 794/367?
Answer: GCF of Numerators as per given numbers 34/38, 899/87, 794/367 is
GCF of Numerators i.e. for 34,899,794 is 1
LCM of denominators i.e. for 38,87,367 is 1213302.
Thus, GCF of Fractions is 1/1213302.Finally, GCF of Fractions for 34/38, 899/87, 794/367 is 1/1213302.