GCF of 2550/366, 6753/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2550/366, 6753/978 i.e 3/59658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2550/366, 6753/978.
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 2550/366,6753/978?
Given fractions are 2550/366,6753/978
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 2550/366,6753/978, numerators are 2550,6753
Denominators are 366,978
The GCF of 2550,6753 is 3 .
LCM of 366,978 is 59658.
The greatest common factor of 2550/366,6753/978 = [GCF of 2550,6753]/[LCM of 366,978]= 3/59658
Therefore, the GCF of 2550/366,6753/978 is 3/59658.
To find the highest common factor of 2550,6753, we have to find the factors of both numbers and list the highest common factor.
The factors of 2550 are 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 425, 510, 850, 1275, 2550
The factors of 6753 are 1, 3, 2251, 6753
The HCF of 2550,6753 is 3.
Lets's calculate GCF of 2550,6753
| 3 | 2550, 6753 |
| 850, 2251 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2550,6753 By Matching Biggest Common Factor Method
Now, list down the factors of 2550
:1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550
Now, list down the factors of 6753
:1,3,2251,6753
Greatest Common Factor
We found the factors 2550,6753 . The biggest common factor number is the GCF number.
So the greatest common factor 2550,6753 is 3.
Lets's calculate LCM of 366,978
| 2 | 366, 978 |
| 3 | 183, 489 |
| 61, 163 |
∴ So the LCM of the given numbers is 2 x 3 x 61 x 163 = 59658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59658
Therefore, the GCF of Fractions 2550/366,6753/978 is 3/59658
Least Common Multiple of 366,978 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 366,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,978) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(366,978) x common factors =6 x 1 = 6
LCM(366,978) = ( 366 × 978 ) / 6
LCM(366,978) = 357948 / 6
LCM(366,978) = 59658
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FAQs on GCF of Fractions of 2550/366, 6753/978
1. What is the HCF of 2550,6753?
The HCF of 2550,6753 is 3
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 2550/366, 6753/978?
Answer: GCF of Numerators as per given numbers 2550/366, 6753/978 is
GCF of Numerators i.e. for 2550,6753 is 3
LCM of denominators i.e. for 366,978 is 59658.
Thus, GCF of Fractions is 3/59658.Finally, GCF of Fractions for 2550/366, 6753/978 is 3/59658.