GCF of 28/32, 147/25, 580/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/32, 147/25, 580/746 i.e 1/298400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/32, 147/25, 580/746.
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 28/32,147/25,580/746?
Given fractions are 28/32,147/25,580/746
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 28/32,147/25,580/746, numerators are 28,147,580
Denominators are 32,25,746
The GCF of 28,147,580 is 1 .
LCM of 32,25,746 is 298400.
The greatest common factor of 28/32,147/25,580/746 = [GCF of 28,147,580]/[LCM of 32,25,746]= 1/298400
Therefore, the GCF of 28/32,147/25,580/746 is 1/298400.
To find the highest common factor of 28,147,580, 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 147 are 1, 3, 7, 21, 49, 147
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 28,147,580 is 1.
Lets's calculate GCF of 28,147,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,147,580 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 147
:1,3,7,21,49,147
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 28,147,580 . The biggest common factor number is the GCF number.
So the greatest common factor 28,147,580 is 1.
Lets's calculate LCM of 32,25,746
| 2 | 32, 25, 746 |
| 16, 25, 373 |
∴ So the LCM of the given numbers is 2 x 16 x 25 x 373 = 298400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298400
Therefore, the GCF of Fractions 28/32,147/25,580/746 is 1/298400
Least Common Multiple of 32,25,746 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 32,25,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,25,746) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,25,746) x common factors =1 x 2 = 2
LCM(32,25,746) = ( 32 × 25 × 746 ) / 2
LCM(32,25,746) = 596800 / 2
LCM(32,25,746) = 298400
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FAQs on GCF of Fractions of 28/32, 147/25, 580/746
1. What is the HCF of 28,147,580?
The HCF of 28,147,580 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 28/32, 147/25, 580/746?
Answer: GCF of Numerators as per given numbers 28/32, 147/25, 580/746 is
GCF of Numerators i.e. for 28,147,580 is 1
LCM of denominators i.e. for 32,25,746 is 298400.
Thus, GCF of Fractions is 1/298400.Finally, GCF of Fractions for 28/32, 147/25, 580/746 is 1/298400.