GCF of 554/143, 331/716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/143, 331/716 i.e 1/102388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/143, 331/716.
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 554/143,331/716?
Given fractions are 554/143,331/716
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 554/143,331/716, numerators are 554,331
Denominators are 143,716
The GCF of 554,331 is 1 .
LCM of 143,716 is 102388.
The greatest common factor of 554/143,331/716 = [GCF of 554,331]/[LCM of 143,716]= 1/102388
Therefore, the GCF of 554/143,331/716 is 1/102388.
To find the highest common factor of 554,331, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 331 are 1, 331
The HCF of 554,331 is 1.
Lets's calculate GCF of 554,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 554,331 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 331
:1,331
Greatest Common Factor
We found the factors 554,331 . The biggest common factor number is the GCF number.
So the greatest common factor 554,331 is 1.
Lets's calculate LCM of 143,716
Given numbers has no common factors except 1. So, there LCM is their product i.e 102388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102388
Therefore, the GCF of Fractions 554/143,331/716 is 1/102388
Least Common Multiple of 143,716 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 143,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,716) x common factors =1 x 1 = 1
LCM(143,716) = ( 143 × 716 ) / 1
LCM(143,716) = 102388 / 1
LCM(143,716) = 102388
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 554/143, 331/716
1. What is the HCF of 554,331?
The HCF of 554,331 is 1
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 554/143, 331/716?
Answer: GCF of Numerators as per given numbers 554/143, 331/716 is
GCF of Numerators i.e. for 554,331 is 1
LCM of denominators i.e. for 143,716 is 102388.
Thus, GCF of Fractions is 1/102388.Finally, GCF of Fractions for 554/143, 331/716 is 1/102388.