GCF of 551/254, 513/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/254, 513/396 i.e 19/50292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/254, 513/396.
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 551/254,513/396?
Given fractions are 551/254,513/396
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 551/254,513/396, numerators are 551,513
Denominators are 254,396
The GCF of 551,513 is 19 .
LCM of 254,396 is 50292.
The greatest common factor of 551/254,513/396 = [GCF of 551,513]/[LCM of 254,396]= 19/50292
Therefore, the GCF of 551/254,513/396 is 19/50292.
To find the highest common factor of 551,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 551,513 is 19.
Lets's calculate GCF of 551,513
| 19 | 551, 513 |
| 29, 27 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 551,513 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 551,513 . The biggest common factor number is the GCF number.
So the greatest common factor 551,513 is 19.
Lets's calculate LCM of 254,396
| 2 | 254, 396 |
| 127, 198 |
∴ So the LCM of the given numbers is 2 x 127 x 198 = 50292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/50292
Therefore, the GCF of Fractions 551/254,513/396 is 19/50292
Least Common Multiple of 254,396 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 254,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,396) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,396) x common factors =2 x 1 = 2
LCM(254,396) = ( 254 × 396 ) / 2
LCM(254,396) = 100584 / 2
LCM(254,396) = 50292
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FAQs on GCF of Fractions of 551/254, 513/396
1. What is the HCF of 551,513?
The HCF of 551,513 is 19
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 551/254, 513/396?
Answer: GCF of Numerators as per given numbers 551/254, 513/396 is
GCF of Numerators i.e. for 551,513 is 19
LCM of denominators i.e. for 254,396 is 50292.
Thus, GCF of Fractions is 19/50292.Finally, GCF of Fractions for 551/254, 513/396 is 19/50292.