GCF of 14/212, 292/339, 255/569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/212, 292/339, 255/569 i.e 1/40892892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/212, 292/339, 255/569.
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 14/212,292/339,255/569?
Given fractions are 14/212,292/339,255/569
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 14/212,292/339,255/569, numerators are 14,292,255
Denominators are 212,339,569
The GCF of 14,292,255 is 1 .
LCM of 212,339,569 is 40892892.
The greatest common factor of 14/212,292/339,255/569 = [GCF of 14,292,255]/[LCM of 212,339,569]= 1/40892892
Therefore, the GCF of 14/212,292/339,255/569 is 1/40892892.
To find the highest common factor of 14,292,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 292 are 1, 2, 4, 73, 146, 292
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 14,292,255 is 1.
Lets's calculate GCF of 14,292,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,292,255 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 292
:1,2,4,73,146,292
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 14,292,255 . The biggest common factor number is the GCF number.
So the greatest common factor 14,292,255 is 1.
Lets's calculate LCM of 212,339,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 40892892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40892892
Therefore, the GCF of Fractions 14/212,292/339,255/569 is 1/40892892
Least Common Multiple of 212,339,569 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 212,339,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,339,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,339,569) x common factors =1 x 1 = 1
LCM(212,339,569) = ( 212 × 339 × 569 ) / 1
LCM(212,339,569) = 40892892 / 1
LCM(212,339,569) = 40892892
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FAQs on GCF of Fractions of 14/212, 292/339, 255/569
1. What is the HCF of 14,292,255?
The HCF of 14,292,255 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 14/212, 292/339, 255/569?
Answer: GCF of Numerators as per given numbers 14/212, 292/339, 255/569 is
GCF of Numerators i.e. for 14,292,255 is 1
LCM of denominators i.e. for 212,339,569 is 40892892.
Thus, GCF of Fractions is 1/40892892.Finally, GCF of Fractions for 14/212, 292/339, 255/569 is 1/40892892.