GCF of 36/879, 99/665, 160/547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/879, 99/665, 160/547 i.e 1/319740645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/879, 99/665, 160/547.
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 36/879,99/665,160/547?
Given fractions are 36/879,99/665,160/547
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 36/879,99/665,160/547, numerators are 36,99,160
Denominators are 879,665,547
The GCF of 36,99,160 is 1 .
LCM of 879,665,547 is 319740645.
The greatest common factor of 36/879,99/665,160/547 = [GCF of 36,99,160]/[LCM of 879,665,547]= 1/319740645
Therefore, the GCF of 36/879,99/665,160/547 is 1/319740645.
To find the highest common factor of 36,99,160, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The HCF of 36,99,160 is 1.
Lets's calculate GCF of 36,99,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,99,160 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 36,99,160 . The biggest common factor number is the GCF number.
So the greatest common factor 36,99,160 is 1.
Lets's calculate LCM of 879,665,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 319740645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319740645
Therefore, the GCF of Fractions 36/879,99/665,160/547 is 1/319740645
Least Common Multiple of 879,665,547 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 879,665,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,665,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,665,547) x common factors =1 x 1 = 1
LCM(879,665,547) = ( 879 × 665 × 547 ) / 1
LCM(879,665,547) = 319740645 / 1
LCM(879,665,547) = 319740645
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FAQs on GCF of Fractions of 36/879, 99/665, 160/547
1. What is the HCF of 36,99,160?
The HCF of 36,99,160 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 36/879, 99/665, 160/547?
Answer: GCF of Numerators as per given numbers 36/879, 99/665, 160/547 is
GCF of Numerators i.e. for 36,99,160 is 1
LCM of denominators i.e. for 879,665,547 is 319740645.
Thus, GCF of Fractions is 1/319740645.Finally, GCF of Fractions for 36/879, 99/665, 160/547 is 1/319740645.