GCF of 28/373, 624/630, 608/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/373, 624/630, 608/368 i.e 4/43238160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/373, 624/630, 608/368.
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 28/373,624/630,608/368?
Given fractions are 28/373,624/630,608/368
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 28/373,624/630,608/368, numerators are 28,624,608
Denominators are 373,630,368
The GCF of 28,624,608 is 4 .
LCM of 373,630,368 is 43238160.
The greatest common factor of 28/373,624/630,608/368 = [GCF of 28,624,608]/[LCM of 373,630,368]= 4/43238160
Therefore, the GCF of 28/373,624/630,608/368 is 4/43238160.
To find the highest common factor of 28,624,608, 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 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The HCF of 28,624,608 is 4.
Lets's calculate GCF of 28,624,608
| 2 | 28, 624, 608 |
| 2 | 14, 312, 304 |
| 7, 156, 152 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 28,624,608 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 624
:1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 28,624,608 . The biggest common factor number is the GCF number.
So the greatest common factor 28,624,608 is 4.
Lets's calculate LCM of 373,630,368
| 2 | 373, 630, 368 |
| 373, 315, 184 |
∴ So the LCM of the given numbers is 2 x 373 x 315 x 184 = 43238160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/43238160
Therefore, the GCF of Fractions 28/373,624/630,608/368 is 4/43238160
Least Common Multiple of 373,630,368 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 373,630,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,630,368) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(373,630,368) x common factors =1 x 2 = 2
LCM(373,630,368) = ( 373 × 630 × 368 ) / 2
LCM(373,630,368) = 86476320 / 2
LCM(373,630,368) = 43238160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 28/373, 624/630, 608/368
1. What is the HCF of 28,624,608?
The HCF of 28,624,608 is 4
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 28/373, 624/630, 608/368?
Answer: GCF of Numerators as per given numbers 28/373, 624/630, 608/368 is
GCF of Numerators i.e. for 28,624,608 is 4
LCM of denominators i.e. for 373,630,368 is 43238160.
Thus, GCF of Fractions is 4/43238160.Finally, GCF of Fractions for 28/373, 624/630, 608/368 is 4/43238160.