GCF of 28/88, 518/31, 180/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/88, 518/31, 180/631 i.e 2/1721368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/88, 518/31, 180/631.
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 28/88,518/31,180/631?
Given fractions are 28/88,518/31,180/631
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 28/88,518/31,180/631, numerators are 28,518,180
Denominators are 88,31,631
The GCF of 28,518,180 is 2 .
LCM of 88,31,631 is 1721368.
The greatest common factor of 28/88,518/31,180/631 = [GCF of 28,518,180]/[LCM of 88,31,631]= 2/1721368
Therefore, the GCF of 28/88,518/31,180/631 is 2/1721368.
To find the highest common factor of 28,518,180, 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 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
The HCF of 28,518,180 is 2.
Lets's calculate GCF of 28,518,180
| 2 | 28, 518, 180 |
| 14, 259, 90 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 28,518,180 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 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 180
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 28,518,180 . The biggest common factor number is the GCF number.
So the greatest common factor 28,518,180 is 2.
Lets's calculate LCM of 88,31,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1721368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1721368
Therefore, the GCF of Fractions 28/88,518/31,180/631 is 2/1721368
Least Common Multiple of 88,31,631 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 88,31,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,31,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,31,631) x common factors =1 x 1 = 1
LCM(88,31,631) = ( 88 × 31 × 631 ) / 1
LCM(88,31,631) = 1721368 / 1
LCM(88,31,631) = 1721368
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FAQs on GCF of Fractions of 28/88, 518/31, 180/631
1. What is the HCF of 28,518,180?
The HCF of 28,518,180 is 2
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 28/88, 518/31, 180/631?
Answer: GCF of Numerators as per given numbers 28/88, 518/31, 180/631 is
GCF of Numerators i.e. for 28,518,180 is 2
LCM of denominators i.e. for 88,31,631 is 1721368.
Thus, GCF of Fractions is 2/1721368.Finally, GCF of Fractions for 28/88, 518/31, 180/631 is 2/1721368.