GCF of 28/57, 807/79, 162/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/57, 807/79, 162/989 i.e 1/4453467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/57, 807/79, 162/989.
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 28/57,807/79,162/989?
Given fractions are 28/57,807/79,162/989
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 28/57,807/79,162/989, numerators are 28,807,162
Denominators are 57,79,989
The GCF of 28,807,162 is 1 .
LCM of 57,79,989 is 4453467.
The greatest common factor of 28/57,807/79,162/989 = [GCF of 28,807,162]/[LCM of 57,79,989]= 1/4453467
Therefore, the GCF of 28/57,807/79,162/989 is 1/4453467.
To find the highest common factor of 28,807,162, 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 807 are 1, 3, 269, 807
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 28,807,162 is 1.
Lets's calculate GCF of 28,807,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,807,162 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 807
:1,3,269,807
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 28,807,162 . The biggest common factor number is the GCF number.
So the greatest common factor 28,807,162 is 1.
Lets's calculate LCM of 57,79,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 4453467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4453467
Therefore, the GCF of Fractions 28/57,807/79,162/989 is 1/4453467
Least Common Multiple of 57,79,989 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 57,79,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,79,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,79,989) x common factors =1 x 1 = 1
LCM(57,79,989) = ( 57 × 79 × 989 ) / 1
LCM(57,79,989) = 4453467 / 1
LCM(57,79,989) = 4453467
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/57, 807/79, 162/989
1. What is the HCF of 28,807,162?
The HCF of 28,807,162 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 28/57, 807/79, 162/989?
Answer: GCF of Numerators as per given numbers 28/57, 807/79, 162/989 is
GCF of Numerators i.e. for 28,807,162 is 1
LCM of denominators i.e. for 57,79,989 is 4453467.
Thus, GCF of Fractions is 1/4453467.Finally, GCF of Fractions for 28/57, 807/79, 162/989 is 1/4453467.