GCF of 28/46, 964/60, 729/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/46, 964/60, 729/311 i.e 1/429180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/46, 964/60, 729/311.
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 28/46,964/60,729/311?
Given fractions are 28/46,964/60,729/311
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 28/46,964/60,729/311, numerators are 28,964,729
Denominators are 46,60,311
The GCF of 28,964,729 is 1 .
LCM of 46,60,311 is 429180.
The greatest common factor of 28/46,964/60,729/311 = [GCF of 28,964,729]/[LCM of 46,60,311]= 1/429180
Therefore, the GCF of 28/46,964/60,729/311 is 1/429180.
To find the highest common factor of 28,964,729, 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 964 are 1, 2, 4, 241, 482, 964
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The HCF of 28,964,729 is 1.
Lets's calculate GCF of 28,964,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,964,729 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 964
:1,2,4,241,482,964
Now, list down the factors of 729
:1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 28,964,729 . The biggest common factor number is the GCF number.
So the greatest common factor 28,964,729 is 1.
Lets's calculate LCM of 46,60,311
| 2 | 46, 60, 311 |
| 23, 30, 311 |
∴ So the LCM of the given numbers is 2 x 23 x 30 x 311 = 429180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429180
Therefore, the GCF of Fractions 28/46,964/60,729/311 is 1/429180
Least Common Multiple of 46,60,311 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 46,60,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,60,311) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,60,311) x common factors =1 x 2 = 2
LCM(46,60,311) = ( 46 × 60 × 311 ) / 2
LCM(46,60,311) = 858360 / 2
LCM(46,60,311) = 429180
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FAQs on GCF of Fractions of 28/46, 964/60, 729/311
1. What is the HCF of 28,964,729?
The HCF of 28,964,729 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 28/46, 964/60, 729/311?
Answer: GCF of Numerators as per given numbers 28/46, 964/60, 729/311 is
GCF of Numerators i.e. for 28,964,729 is 1
LCM of denominators i.e. for 46,60,311 is 429180.
Thus, GCF of Fractions is 1/429180.Finally, GCF of Fractions for 28/46, 964/60, 729/311 is 1/429180.