GCF of 2550/258, 9486/4507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2550/258, 9486/4507 i.e 102/1162806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2550/258, 9486/4507.
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 2550/258,9486/4507?
Given fractions are 2550/258,9486/4507
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 2550/258,9486/4507, numerators are 2550,9486
Denominators are 258,4507
The GCF of 2550,9486 is 102 .
LCM of 258,4507 is 1162806.
The greatest common factor of 2550/258,9486/4507 = [GCF of 2550,9486]/[LCM of 258,4507]= 102/1162806
Therefore, the GCF of 2550/258,9486/4507 is 102/1162806.
To find the highest common factor of 2550,9486, 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 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486
The HCF of 2550,9486 is 102.
Lets's calculate GCF of 2550,9486
| 2 | 2550, 9486 |
| 3 | 1275, 4743 |
| 17 | 425, 1581 |
| 25, 93 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Greatest Common Factor of 2550,9486 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 9486
:1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Greatest Common Factor
We found the factors 2550,9486 . The biggest common factor number is the GCF number.
So the greatest common factor 2550,9486 is 102.
Lets's calculate LCM of 258,4507
Given numbers has no common factors except 1. So, there LCM is their product i.e 1162806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/1162806
Therefore, the GCF of Fractions 2550/258,9486/4507 is 102/1162806
Least Common Multiple of 258,4507 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 258,4507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,4507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(258,4507) x common factors =1 x 1 = 1
LCM(258,4507) = ( 258 × 4507 ) / 1
LCM(258,4507) = 1162806 / 1
LCM(258,4507) = 1162806
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FAQs on GCF of Fractions of 2550/258, 9486/4507
1. What is the HCF of 2550,9486?
The HCF of 2550,9486 is 102
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 2550/258, 9486/4507?
Answer: GCF of Numerators as per given numbers 2550/258, 9486/4507 is
GCF of Numerators i.e. for 2550,9486 is 102
LCM of denominators i.e. for 258,4507 is 1162806.
Thus, GCF of Fractions is 102/1162806.Finally, GCF of Fractions for 2550/258, 9486/4507 is 102/1162806.