GCF of 8128/360, 8319/3087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8128/360, 8319/3087 i.e 1/123480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8128/360, 8319/3087.
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 8128/360,8319/3087?
Given fractions are 8128/360,8319/3087
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 8128/360,8319/3087, numerators are 8128,8319
Denominators are 360,3087
The GCF of 8128,8319 is 1 .
LCM of 360,3087 is 123480.
The greatest common factor of 8128/360,8319/3087 = [GCF of 8128,8319]/[LCM of 360,3087]= 1/123480
Therefore, the GCF of 8128/360,8319/3087 is 1/123480.
To find the highest common factor of 8128,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 8128,8319 is 1.
Lets's calculate GCF of 8128,8319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8128,8319 By Matching Biggest Common Factor Method
Now, list down the factors of 8128
:1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 8128,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 8128,8319 is 1.
Lets's calculate LCM of 360,3087
| 3 | 360, 3087 |
| 3 | 120, 1029 |
| 40, 343 |
∴ So the LCM of the given numbers is 3 x 3 x 40 x 343 = 123480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123480
Therefore, the GCF of Fractions 8128/360,8319/3087 is 1/123480
Least Common Multiple of 360,3087 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 360,3087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,3087) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(360,3087) x common factors =9 x 1 = 9
LCM(360,3087) = ( 360 × 3087 ) / 9
LCM(360,3087) = 1111320 / 9
LCM(360,3087) = 123480
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FAQs on GCF of Fractions of 8128/360, 8319/3087
1. What is the HCF of 8128,8319?
The HCF of 8128,8319 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 8128/360, 8319/3087?
Answer: GCF of Numerators as per given numbers 8128/360, 8319/3087 is
GCF of Numerators i.e. for 8128,8319 is 1
LCM of denominators i.e. for 360,3087 is 123480.
Thus, GCF of Fractions is 1/123480.Finally, GCF of Fractions for 8128/360, 8319/3087 is 1/123480.