GCF of 8126/859, 5794/194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8126/859, 5794/194 i.e 2/166646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8126/859, 5794/194.
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 8126/859,5794/194?
Given fractions are 8126/859,5794/194
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 8126/859,5794/194, numerators are 8126,5794
Denominators are 859,194
The GCF of 8126,5794 is 2 .
LCM of 859,194 is 166646.
The greatest common factor of 8126/859,5794/194 = [GCF of 8126,5794]/[LCM of 859,194]= 2/166646
Therefore, the GCF of 8126/859,5794/194 is 2/166646.
To find the highest common factor of 8126,5794, we have to find the factors of both numbers and list the highest common factor.
The factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126
The factors of 5794 are 1, 2, 2897, 5794
The HCF of 8126,5794 is 2.
Lets's calculate GCF of 8126,5794
| 2 | 8126, 5794 |
| 4063, 2897 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8126,5794 By Matching Biggest Common Factor Method
Now, list down the factors of 8126
:1,2,17,34,239,478,4063,8126
Now, list down the factors of 5794
:1,2,2897,5794
Greatest Common Factor
We found the factors 8126,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 8126,5794 is 2.
Lets's calculate LCM of 859,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 166646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/166646
Therefore, the GCF of Fractions 8126/859,5794/194 is 2/166646
Least Common Multiple of 859,194 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 859,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,194) x common factors =1 x 1 = 1
LCM(859,194) = ( 859 × 194 ) / 1
LCM(859,194) = 166646 / 1
LCM(859,194) = 166646
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FAQs on GCF of Fractions of 8126/859, 5794/194
1. What is the HCF of 8126,5794?
The HCF of 8126,5794 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 8126/859, 5794/194?
Answer: GCF of Numerators as per given numbers 8126/859, 5794/194 is
GCF of Numerators i.e. for 8126,5794 is 2
LCM of denominators i.e. for 859,194 is 166646.
Thus, GCF of Fractions is 2/166646.Finally, GCF of Fractions for 8126/859, 5794/194 is 2/166646.