GCF of 9566/516, 4887/1859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9566/516, 4887/1859 i.e 1/959244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9566/516, 4887/1859.
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 9566/516,4887/1859?
Given fractions are 9566/516,4887/1859
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 9566/516,4887/1859, numerators are 9566,4887
Denominators are 516,1859
The GCF of 9566,4887 is 1 .
LCM of 516,1859 is 959244.
The greatest common factor of 9566/516,4887/1859 = [GCF of 9566,4887]/[LCM of 516,1859]= 1/959244
Therefore, the GCF of 9566/516,4887/1859 is 1/959244.
To find the highest common factor of 9566,4887, we have to find the factors of both numbers and list the highest common factor.
The factors of 9566 are 1, 2, 4783, 9566
The factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887
The HCF of 9566,4887 is 1.
Lets's calculate GCF of 9566,4887
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9566,4887 By Matching Biggest Common Factor Method
Now, list down the factors of 9566
:1,2,4783,9566
Now, list down the factors of 4887
:1,3,9,27,181,543,1629,4887
Greatest Common Factor
We found the factors 9566,4887 . The biggest common factor number is the GCF number.
So the greatest common factor 9566,4887 is 1.
Lets's calculate LCM of 516,1859
Given numbers has no common factors except 1. So, there LCM is their product i.e 959244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/959244
Therefore, the GCF of Fractions 9566/516,4887/1859 is 1/959244
Least Common Multiple of 516,1859 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 516,1859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,1859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,1859) x common factors =1 x 1 = 1
LCM(516,1859) = ( 516 × 1859 ) / 1
LCM(516,1859) = 959244 / 1
LCM(516,1859) = 959244
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FAQs on GCF of Fractions of 9566/516, 4887/1859
1. What is the HCF of 9566,4887?
The HCF of 9566,4887 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 9566/516, 4887/1859?
Answer: GCF of Numerators as per given numbers 9566/516, 4887/1859 is
GCF of Numerators i.e. for 9566,4887 is 1
LCM of denominators i.e. for 516,1859 is 959244.
Thus, GCF of Fractions is 1/959244.Finally, GCF of Fractions for 9566/516, 4887/1859 is 1/959244.