GCF of 8530/168, 6578/5954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8530/168, 6578/5954 i.e 2/500136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8530/168, 6578/5954.
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 8530/168,6578/5954?
Given fractions are 8530/168,6578/5954
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 8530/168,6578/5954, numerators are 8530,6578
Denominators are 168,5954
The GCF of 8530,6578 is 2 .
LCM of 168,5954 is 500136.
The greatest common factor of 8530/168,6578/5954 = [GCF of 8530,6578]/[LCM of 168,5954]= 2/500136
Therefore, the GCF of 8530/168,6578/5954 is 2/500136.
To find the highest common factor of 8530,6578, we have to find the factors of both numbers and list the highest common factor.
The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530
The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
The HCF of 8530,6578 is 2.
Lets's calculate GCF of 8530,6578
| 2 | 8530, 6578 |
| 4265, 3289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8530,6578 By Matching Biggest Common Factor Method
Now, list down the factors of 8530
:1,2,5,10,853,1706,4265,8530
Now, list down the factors of 6578
:1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors 8530,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 8530,6578 is 2.
Lets's calculate LCM of 168,5954
| 2 | 168, 5954 |
| 84, 2977 |
∴ So the LCM of the given numbers is 2 x 84 x 2977 = 500136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/500136
Therefore, the GCF of Fractions 8530/168,6578/5954 is 2/500136
Least Common Multiple of 168,5954 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 168,5954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,5954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,5954) x common factors =2 x 1 = 2
LCM(168,5954) = ( 168 × 5954 ) / 2
LCM(168,5954) = 1000272 / 2
LCM(168,5954) = 500136
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FAQs on GCF of Fractions of 8530/168, 6578/5954
1. What is the HCF of 8530,6578?
The HCF of 8530,6578 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 8530/168, 6578/5954?
Answer: GCF of Numerators as per given numbers 8530/168, 6578/5954 is
GCF of Numerators i.e. for 8530,6578 is 2
LCM of denominators i.e. for 168,5954 is 500136.
Thus, GCF of Fractions is 2/500136.Finally, GCF of Fractions for 8530/168, 6578/5954 is 2/500136.