GCF of 128/670, 4080/623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 128/670, 4080/623 i.e 16/417410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 128/670, 4080/623.
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 128/670,4080/623?
Given fractions are 128/670,4080/623
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 128/670,4080/623, numerators are 128,4080
Denominators are 670,623
The GCF of 128,4080 is 16 .
LCM of 670,623 is 417410.
The greatest common factor of 128/670,4080/623 = [GCF of 128,4080]/[LCM of 670,623]= 16/417410
Therefore, the GCF of 128/670,4080/623 is 16/417410.
To find the highest common factor of 128,4080, we have to find the factors of both numbers and list the highest common factor.
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 4080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 340, 408, 510, 680, 816, 1020, 1360, 2040, 4080
The HCF of 128,4080 is 16.
Lets's calculate GCF of 128,4080
| 2 | 128, 4080 |
| 2 | 64, 2040 |
| 2 | 32, 1020 |
| 2 | 16, 510 |
| 8, 255 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 128,4080 By Matching Biggest Common Factor Method
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 4080
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 128,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 128,4080 is 16.
Lets's calculate LCM of 670,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 417410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/417410
Therefore, the GCF of Fractions 128/670,4080/623 is 16/417410
Least Common Multiple of 670,623 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 670,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,623) x common factors =1 x 1 = 1
LCM(670,623) = ( 670 × 623 ) / 1
LCM(670,623) = 417410 / 1
LCM(670,623) = 417410
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FAQs on GCF of Fractions of 128/670, 4080/623
1. What is the HCF of 128,4080?
The HCF of 128,4080 is 16
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 128/670, 4080/623?
Answer: GCF of Numerators as per given numbers 128/670, 4080/623 is
GCF of Numerators i.e. for 128,4080 is 16
LCM of denominators i.e. for 670,623 is 417410.
Thus, GCF of Fractions is 16/417410.Finally, GCF of Fractions for 128/670, 4080/623 is 16/417410.