GCF of 28/96, 886/31, 617/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/96, 886/31, 617/601 i.e 1/1788576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/96, 886/31, 617/601.
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 28/96,886/31,617/601?
Given fractions are 28/96,886/31,617/601
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 28/96,886/31,617/601, numerators are 28,886,617
Denominators are 96,31,601
The GCF of 28,886,617 is 1 .
LCM of 96,31,601 is 1788576.
The greatest common factor of 28/96,886/31,617/601 = [GCF of 28,886,617]/[LCM of 96,31,601]= 1/1788576
Therefore, the GCF of 28/96,886/31,617/601 is 1/1788576.
To find the highest common factor of 28,886,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 886 are 1, 2, 443, 886
The factors of 617 are 1, 617
The HCF of 28,886,617 is 1.
Lets's calculate GCF of 28,886,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,886,617 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 28,886,617 . The biggest common factor number is the GCF number.
So the greatest common factor 28,886,617 is 1.
Lets's calculate LCM of 96,31,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 1788576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788576
Therefore, the GCF of Fractions 28/96,886/31,617/601 is 1/1788576
Least Common Multiple of 96,31,601 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 96,31,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,31,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,31,601) x common factors =1 x 1 = 1
LCM(96,31,601) = ( 96 × 31 × 601 ) / 1
LCM(96,31,601) = 1788576 / 1
LCM(96,31,601) = 1788576
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FAQs on GCF of Fractions of 28/96, 886/31, 617/601
1. What is the HCF of 28,886,617?
The HCF of 28,886,617 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 28/96, 886/31, 617/601?
Answer: GCF of Numerators as per given numbers 28/96, 886/31, 617/601 is
GCF of Numerators i.e. for 28,886,617 is 1
LCM of denominators i.e. for 96,31,601 is 1788576.
Thus, GCF of Fractions is 1/1788576.Finally, GCF of Fractions for 28/96, 886/31, 617/601 is 1/1788576.