GCF of 551/41, 418/1417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/41, 418/1417 i.e 19/58097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/41, 418/1417.
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 551/41,418/1417?
Given fractions are 551/41,418/1417
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 551/41,418/1417, numerators are 551,418
Denominators are 41,1417
The GCF of 551,418 is 19 .
LCM of 41,1417 is 58097.
The greatest common factor of 551/41,418/1417 = [GCF of 551,418]/[LCM of 41,1417]= 19/58097
Therefore, the GCF of 551/41,418/1417 is 19/58097.
To find the highest common factor of 551,418, 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 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 551,418 is 19.
Lets's calculate GCF of 551,418
| 19 | 551, 418 |
| 29, 22 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 551,418 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 551,418 . The biggest common factor number is the GCF number.
So the greatest common factor 551,418 is 19.
Lets's calculate LCM of 41,1417
Given numbers has no common factors except 1. So, there LCM is their product i.e 58097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/58097
Therefore, the GCF of Fractions 551/41,418/1417 is 19/58097
Least Common Multiple of 41,1417 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 41,1417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,1417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,1417) x common factors =1 x 1 = 1
LCM(41,1417) = ( 41 × 1417 ) / 1
LCM(41,1417) = 58097 / 1
LCM(41,1417) = 58097
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FAQs on GCF of Fractions of 551/41, 418/1417
1. What is the HCF of 551,418?
The HCF of 551,418 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 551/41, 418/1417?
Answer: GCF of Numerators as per given numbers 551/41, 418/1417 is
GCF of Numerators i.e. for 551,418 is 19
LCM of denominators i.e. for 41,1417 is 58097.
Thus, GCF of Fractions is 19/58097.Finally, GCF of Fractions for 551/41, 418/1417 is 19/58097.