GCF of 8467/579, 5837/9606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8467/579, 5837/9606 i.e 1/1853958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8467/579, 5837/9606.
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 8467/579,5837/9606?
Given fractions are 8467/579,5837/9606
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 8467/579,5837/9606, numerators are 8467,5837
Denominators are 579,9606
The GCF of 8467,5837 is 1 .
LCM of 579,9606 is 1853958.
The greatest common factor of 8467/579,5837/9606 = [GCF of 8467,5837]/[LCM of 579,9606]= 1/1853958
Therefore, the GCF of 8467/579,5837/9606 is 1/1853958.
To find the highest common factor of 8467,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 8467 are 1, 8467
The factors of 5837 are 1, 13, 449, 5837
The HCF of 8467,5837 is 1.
Lets's calculate GCF of 8467,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8467,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 8467
:1,8467
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 8467,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 8467,5837 is 1.
Lets's calculate LCM of 579,9606
| 3 | 579, 9606 |
| 193, 3202 |
∴ So the LCM of the given numbers is 3 x 193 x 3202 = 1853958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1853958
Therefore, the GCF of Fractions 8467/579,5837/9606 is 1/1853958
Least Common Multiple of 579,9606 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 579,9606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,9606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,9606) x common factors =3 x 1 = 3
LCM(579,9606) = ( 579 × 9606 ) / 3
LCM(579,9606) = 5561874 / 3
LCM(579,9606) = 1853958
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FAQs on GCF of Fractions of 8467/579, 5837/9606
1. What is the HCF of 8467,5837?
The HCF of 8467,5837 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 8467/579, 5837/9606?
Answer: GCF of Numerators as per given numbers 8467/579, 5837/9606 is
GCF of Numerators i.e. for 8467,5837 is 1
LCM of denominators i.e. for 579,9606 is 1853958.
Thus, GCF of Fractions is 1/1853958.Finally, GCF of Fractions for 8467/579, 5837/9606 is 1/1853958.