GCF of 6528/406, 4865/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6528/406, 4865/359 i.e 1/145754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6528/406, 4865/359.
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 6528/406,4865/359?
Given fractions are 6528/406,4865/359
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 6528/406,4865/359, numerators are 6528,4865
Denominators are 406,359
The GCF of 6528,4865 is 1 .
LCM of 406,359 is 145754.
The greatest common factor of 6528/406,4865/359 = [GCF of 6528,4865]/[LCM of 406,359]= 1/145754
Therefore, the GCF of 6528/406,4865/359 is 1/145754.
To find the highest common factor of 6528,4865, we have to find the factors of both numbers and list the highest common factor.
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865
The HCF of 6528,4865 is 1.
Lets's calculate GCF of 6528,4865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6528,4865 By Matching Biggest Common Factor Method
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Now, list down the factors of 4865
:1,5,7,35,139,695,973,4865
Greatest Common Factor
We found the factors 6528,4865 . The biggest common factor number is the GCF number.
So the greatest common factor 6528,4865 is 1.
Lets's calculate LCM of 406,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 145754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145754
Therefore, the GCF of Fractions 6528/406,4865/359 is 1/145754
Least Common Multiple of 406,359 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 406,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,359) x common factors =1 x 1 = 1
LCM(406,359) = ( 406 × 359 ) / 1
LCM(406,359) = 145754 / 1
LCM(406,359) = 145754
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FAQs on GCF of Fractions of 6528/406, 4865/359
1. What is the HCF of 6528,4865?
The HCF of 6528,4865 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 6528/406, 4865/359?
Answer: GCF of Numerators as per given numbers 6528/406, 4865/359 is
GCF of Numerators i.e. for 6528,4865 is 1
LCM of denominators i.e. for 406,359 is 145754.
Thus, GCF of Fractions is 1/145754.Finally, GCF of Fractions for 6528/406, 4865/359 is 1/145754.