GCF of 8522/586, 8074/6097
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8522/586, 8074/6097 i.e 2/3572842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8522/586, 8074/6097.
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 8522/586,8074/6097?
Given fractions are 8522/586,8074/6097
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 8522/586,8074/6097, numerators are 8522,8074
Denominators are 586,6097
The GCF of 8522,8074 is 2 .
LCM of 586,6097 is 3572842.
The greatest common factor of 8522/586,8074/6097 = [GCF of 8522,8074]/[LCM of 586,6097]= 2/3572842
Therefore, the GCF of 8522/586,8074/6097 is 2/3572842.
To find the highest common factor of 8522,8074, we have to find the factors of both numbers and list the highest common factor.
The factors of 8522 are 1, 2, 4261, 8522
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The HCF of 8522,8074 is 2.
Lets's calculate GCF of 8522,8074
| 2 | 8522, 8074 |
| 4261, 4037 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8522,8074 By Matching Biggest Common Factor Method
Now, list down the factors of 8522
:1,2,4261,8522
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Greatest Common Factor
We found the factors 8522,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 8522,8074 is 2.
Lets's calculate LCM of 586,6097
Given numbers has no common factors except 1. So, there LCM is their product i.e 3572842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3572842
Therefore, the GCF of Fractions 8522/586,8074/6097 is 2/3572842
Least Common Multiple of 586,6097 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 586,6097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,6097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,6097) x common factors =1 x 1 = 1
LCM(586,6097) = ( 586 × 6097 ) / 1
LCM(586,6097) = 3572842 / 1
LCM(586,6097) = 3572842
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FAQs on GCF of Fractions of 8522/586, 8074/6097
1. What is the HCF of 8522,8074?
The HCF of 8522,8074 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 8522/586, 8074/6097?
Answer: GCF of Numerators as per given numbers 8522/586, 8074/6097 is
GCF of Numerators i.e. for 8522,8074 is 2
LCM of denominators i.e. for 586,6097 is 3572842.
Thus, GCF of Fractions is 2/3572842.Finally, GCF of Fractions for 8522/586, 8074/6097 is 2/3572842.