GCF of 8508/539, 1392/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8508/539, 1392/638 i.e 12/31262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8508/539, 1392/638.
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 8508/539,1392/638?
Given fractions are 8508/539,1392/638
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 8508/539,1392/638, numerators are 8508,1392
Denominators are 539,638
The GCF of 8508,1392 is 12 .
LCM of 539,638 is 31262.
The greatest common factor of 8508/539,1392/638 = [GCF of 8508,1392]/[LCM of 539,638]= 12/31262
Therefore, the GCF of 8508/539,1392/638 is 12/31262.
To find the highest common factor of 8508,1392, we have to find the factors of both numbers and list the highest common factor.
The factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508
The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392
The HCF of 8508,1392 is 12.
Lets's calculate GCF of 8508,1392
| 2 | 8508, 1392 |
| 2 | 4254, 696 |
| 3 | 2127, 348 |
| 709, 116 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8508,1392 By Matching Biggest Common Factor Method
Now, list down the factors of 8508
:1,2,3,4,6,12,709,1418,2127,2836,4254,8508
Now, list down the factors of 1392
:1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Greatest Common Factor
We found the factors 8508,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 8508,1392 is 12.
Lets's calculate LCM of 539,638
| 11 | 539, 638 |
| 49, 58 |
∴ So the LCM of the given numbers is 11 x 49 x 58 = 31262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/31262
Therefore, the GCF of Fractions 8508/539,1392/638 is 12/31262
Least Common Multiple of 539,638 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 539,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,638) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,638) x common factors =11 x 1 = 11
LCM(539,638) = ( 539 × 638 ) / 11
LCM(539,638) = 343882 / 11
LCM(539,638) = 31262
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FAQs on GCF of Fractions of 8508/539, 1392/638
1. What is the HCF of 8508,1392?
The HCF of 8508,1392 is 12
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 8508/539, 1392/638?
Answer: GCF of Numerators as per given numbers 8508/539, 1392/638 is
GCF of Numerators i.e. for 8508,1392 is 12
LCM of denominators i.e. for 539,638 is 31262.
Thus, GCF of Fractions is 12/31262.Finally, GCF of Fractions for 8508/539, 1392/638 is 12/31262.