GCF of 2550/731, 2349/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2550/731, 2349/7002 i.e 3/5118462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2550/731, 2349/7002.
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 2550/731,2349/7002?
Given fractions are 2550/731,2349/7002
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 2550/731,2349/7002, numerators are 2550,2349
Denominators are 731,7002
The GCF of 2550,2349 is 3 .
LCM of 731,7002 is 5118462.
The greatest common factor of 2550/731,2349/7002 = [GCF of 2550,2349]/[LCM of 731,7002]= 3/5118462
Therefore, the GCF of 2550/731,2349/7002 is 3/5118462.
To find the highest common factor of 2550,2349, 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 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The HCF of 2550,2349 is 3.
Lets's calculate GCF of 2550,2349
| 3 | 2550, 2349 |
| 850, 783 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2550,2349 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 2349
:1,3,9,27,29,81,87,261,783,2349
Greatest Common Factor
We found the factors 2550,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 2550,2349 is 3.
Lets's calculate LCM of 731,7002
Given numbers has no common factors except 1. So, there LCM is their product i.e 5118462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5118462
Therefore, the GCF of Fractions 2550/731,2349/7002 is 3/5118462
Least Common Multiple of 731,7002 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 731,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,7002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(731,7002) x common factors =1 x 1 = 1
LCM(731,7002) = ( 731 × 7002 ) / 1
LCM(731,7002) = 5118462 / 1
LCM(731,7002) = 5118462
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FAQs on GCF of Fractions of 2550/731, 2349/7002
1. What is the HCF of 2550,2349?
The HCF of 2550,2349 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 2550/731, 2349/7002?
Answer: GCF of Numerators as per given numbers 2550/731, 2349/7002 is
GCF of Numerators i.e. for 2550,2349 is 3
LCM of denominators i.e. for 731,7002 is 5118462.
Thus, GCF of Fractions is 3/5118462.Finally, GCF of Fractions for 2550/731, 2349/7002 is 3/5118462.