GCF of 628/90, 736/15, 143/10
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/90, 736/15, 143/10 i.e 1/90 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/90, 736/15, 143/10.
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 628/90,736/15,143/10?
Given fractions are 628/90,736/15,143/10
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 628/90,736/15,143/10, numerators are 628,736,143
Denominators are 90,15,10
The GCF of 628,736,143 is 1 .
LCM of 90,15,10 is 90.
The greatest common factor of 628/90,736/15,143/10 = [GCF of 628,736,143]/[LCM of 90,15,10]= 1/90
Therefore, the GCF of 628/90,736/15,143/10 is 1/90.
To find the highest common factor of 628,736,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 143 are 1, 11, 13, 143
The HCF of 628,736,143 is 1.
Lets's calculate GCF of 628,736,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 628,736,143 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 628,736,143 . The biggest common factor number is the GCF number.
So the greatest common factor 628,736,143 is 1.
Lets's calculate LCM of 90,15,10
| 2 | 90, 15, 10 |
| 3 | 45, 15, 5 |
| 5 | 5, 15, 5 |
| 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 1 = 90
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90
Therefore, the GCF of Fractions 628/90,736/15,143/10 is 1/90
Least Common Multiple of 90,15,10 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 90,15,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,15,10) = 5
common factors(in case of two or more numbers have common factors) = 30
GCF(90,15,10) x common factors =5 x 30 = 150
LCM(90,15,10) = ( 90 × 15 × 10 ) / 150
LCM(90,15,10) = 13500 / 150
LCM(90,15,10) = 90
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 628/90, 736/15, 143/10
1. What is the HCF of 628,736,143?
The HCF of 628,736,143 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 628/90, 736/15, 143/10?
Answer: GCF of Numerators as per given numbers 628/90, 736/15, 143/10 is
GCF of Numerators i.e. for 628,736,143 is 1
LCM of denominators i.e. for 90,15,10 is 90.
Thus, GCF of Fractions is 1/90.Finally, GCF of Fractions for 628/90, 736/15, 143/10 is 1/90.